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<Text-field style="Text" bold="true" layout="Normal257"><Font bold="true">MAT 156  F' 05</Font></Text-field>
<Text-field style="Text" bold="true" layout="Normal257"><Font bold="true">Lab 1</Font></Text-field>
<Text-field style="Text" bold="true" layout="Normal257"><Font bold="true"> Maple Review</Font></Text-field>
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<Text-field style="Normal" layout="Normal" alignment="centred"><Font bold="true" style="Text">MAT 156 F'07</Font></Text-field>
<Text-field style="Normal" layout="Normal" alignment="centred"><Font bold="true" style="Text">Lab 1</Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">This Lab is a quick review of things you learned in Mat 155.  Note that there is a built-in tutorial for Maple and a Help Menu.  Since there is no manual you should become adept at using both. </Font></Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Operations:</Font>     To use Maple as a calculator, you just type the formula you are interested in and hit enter.   Use +, -,*,/ and ^ f</Text-field>
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<Text-field style="Normal" layout="Normal">Addition                +</Text-field>
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<Text-field style="Normal" layout="Normal">Multiplication         *                may appear as a dot</Text-field>
<Text-field style="Normal" layout="Normal">Division                 /</Text-field>
<Text-field style="Normal" layout="Normal">Exponent              ^                 may appear as a superscript</Text-field>
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<Text-field style="Normal" layout="Normal">Maple obeys the order of operations so it will do exponents first, then multimplication and division, then</Text-field>
<Text-field style="Normal" layout="Normal">addition and subtraction.  If you want it to do addition first, you must put it in parentheses.     </Text-field>
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<Text-field style="Normal" layout="Normal">Click on the following lines and hit &quot;Enter&quot; to see examples:</Text-field>
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<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;1&quot;), Typesetting:-mo(&quot;+&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;2&quot;), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mo(&quot;\342\213\205&quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;3&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;6&quot;), Typesetting:-mo(&quot;-&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;4&quot;), Typesetting:-mo(&quot;/&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;2&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">NiQtSSNtbkc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGKDY5USI0RigvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GKC8lJXNpemVHUSMxMkYoLyUlYm9sZEdRJmZhbHNlRigvJSdpdGFsaWNHRjUvJSp1bmRlcmxpbmVHRjUvJSpzdWJzY3JpcHRHRjUvJSxzdXBlcnNjcmlwdEdGNS8lK2ZvcmVncm91bmRHUSpbMCwwLDI1NV1GKC8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRigvJSdvcGFxdWVHRjUvJStleGVjdXRhYmxlR0Y1LyUpcmVhZG9ubHlHUSV0cnVlRigvJSljb21wb3NlZEdGNS8lKmNvbnZlcnRlZEdGNS8lK2ltc2VsZWN0ZWRHRjUvJSxwbGFjZWhvbGRlckdGNS8lMGZvbnRfc3R5bGVfbmFtZUdRKjJEfk91dHB1dEYoLyUqbWF0aGNvbG9yR0ZALyUvbWF0aGJhY2tncm91bmRHRkMvJStmb250ZmFtaWx5R0YvLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGKC8lKW1hdGhzaXplR0YyNyMiIiU=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;6&quot;), Typesetting:-mo(&quot;-&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;4&quot;), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mo(&quot;/&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;2&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Decimal Expansions</Font>  If Maple starts with integers then it gives the answer in terms of integers whenever it can.  If you want decimals either start with decimals or use the evalf command.</Text-field>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">5/3;  5.0/3;  evalf(5/3);</Text-field>
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<Text-field style="Normal" bold="true" layout="Normal"><Font bold="true" style="Text"> Making a Worksheet</Font><Font style="Maple Input"> </Font></Text-field>
<Text-field style="Normal" layout="Normal">1.)   Start a new worksheet by clicking the new file icon (the leftmost icon on the menu bar) or selecting File/New from the Main menu.   </Text-field>
<Text-field style="Normal" layout="Normal">2)  Write your name on the top of the file.</Text-field>
<Text-field style="Normal" layout="Normal">3)   Save the file with the name Assn1  </Text-field>
<Text-field style="Normal" layout="Normal">4)  To see both files at once select Window/Vertical from the main menu</Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignments  </Font>Each week there will be an assignment to complement the lab notes. Assignments count 30% of your grade and must be completed by the end of the next lab.    To do the assignment, open a new file as above and answer all the &quot;Assignment&quot; Sections of the lab.   </Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignment Part 2:</Font>   Compute the following using Maple.  You may either use &quot;New&quot; Maple or Classic Maple.  In Classic Maple, you must type your command on a line beginning with a [&gt; (red) symbol which is called a prompt.  Don't forget the ; or Maple will write : &quot;Warning, premature end of input&quot;.  In New Maple there is no prompt.  The input line comes out in italics.  You don't need the semi-colon at the end of an input.  If you type a fraction, say 3/2, the slash becomes a horizontal line. To move on from the fraction type a right arrow key.  The same is true for an exponent.  There are other differences and we will mention them as we go along.   </Text-field>
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<Text-field style="Normal" layout="Normal">a) <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;3&quot;), Typesetting:-mo(&quot;+&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;4&quot;)), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;)), Typesetting:-mn(&quot;3&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field style="Normal" layout="Normal">b)   <Font style="Text" underline="true"> 1+15  </Font></Text-field>
<Text-field style="Normal" layout="Normal">        7+1                Use parentheses to make sure you get the right answer  (2) </Text-field>
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<Text-field style="Normal" layout="Normal">c)   5(3+2)                </Text-field>
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<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
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<Input>
<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Built in functions</Font>   Maple has many built in functions.  Some common ones are sqrt(x)   ( for <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msqrt(Typesetting:-mi(&quot;x&quot;), foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;&quot;))">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</Equation> )  sin(x)   cos(x)   tan(x)    exp(x)  (for <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mo(&quot;e&quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;))">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</Equation>)  </Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sqrt&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;)))), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sqrt&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn(&quot;2.0&quot;)))), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mn(&quot;2&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mfrac(Typesetting:-mn(&quot;1&quot;), Typesetting:-mn(&quot;2&quot;), linethickness = &quot;1&quot;, denomalign = &quot;center&quot;, numalign = &quot;center&quot;, bevelled = &quot;false&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;&quot;)), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sqrt&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn(&quot;\342\210\2221&quot;)))), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
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<Input>
<Text-field style="Normal" layout="Normal">Remember that there is no real square root of (-1).  There is an imaginary square root for (-1) which is called i or I.  </Text-field>
</Input>
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<Input>
<Text-field style="Normal" layout="Normal">In Calculus I we do not use imaginary or complex numbers.  So be careful if you get an <Font italic="true" style="Text">I</Font> in an answer.</Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"><Font bold="true">When using the trig functions keep in mind that angles are measured in</Font><Font style="Text"> radians</Font><Font bold="true"> not degrees.</Font>  </Text-field>
<Text-field style="Normal" layout="Normal">Maple also has a built in value for <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;Pi&quot;))">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</Equation>  </Text-field>
<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">When you want to use </Font><Equation executable="false" style="Text" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;Pi&quot;))">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</Equation><Font bold="true" style="Text"> type in Pi. </Font></Text-field>
<Text-field style="Normal" layout="Normal">Maple is case sensitive so be sure to type Pi and not pi or PI.</Text-field>
</Input>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sin&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mfrac(Typesetting:-mi(&quot;Pi&quot;), Typesetting:-mn(&quot;6&quot;), linethickness = &quot;1&quot;, denomalign = &quot;center&quot;, numalign = &quot;center&quot;, bevelled = &quot;false&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;&quot;)))), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;evalf&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sin&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mfrac(Typesetting:-mi(&quot;Pi&quot;), Typesetting:-mn(&quot;4&quot;), linethickness = &quot;1&quot;, denomalign = &quot;center&quot;, numalign = &quot;center&quot;, bevelled = &quot;false&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;&quot;)))), Typesetting:-mi(&quot;&quot;)))), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output" linespacing="0.5"><Equation executable="false" style="2D Output">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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<Text-field style="Normal" layout="Normal"></Text-field>
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<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
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<Input>
<Text-field style="Normal" layout="Normal">For a quick <Font bold="true">conversion from radians to degrees</Font> just remember that a full circle has 360 degrees and 2*Pi radians.  </Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">The conversion is proportional:  since 45 degrees is 1/8 of 360,  it corresponds to 1/8 of 2*Pi radians.  In other words 45 degrees corresponds to Pi/4.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true">Assignment Part 3:</Font></Text-field>
<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">a)</Font>   Find the sin of 60 degrees.</Text-field>
</Input>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">b)</Font>  Compute the cosine of 180 degrees.</Text-field>
</Input>
</Group>
<Text-field style="Normal" layout="Normal"> </Text-field>
<Group labelreference="L58" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L29" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group labelreference="L75" drawlabel="true">
<Input>
<Text-field style="Normal258" executable="false" family="Times New Roman" opaque="false" foreground="[0,0,0]" superscript="false" placeholder="false" readonly="false" subscript="false" bold="false" italic="false" underline="false" background="[255,255,255]" font_style_name="Normal258" size="12" layout="Normal258">User defined functions</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">Although there are many built in functions almost every application of Maple requires you to define your own functions.  There is special syntax for this that must be followed exactly.  Here is the general form</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">nameOfFunction  :=  x-&gt;  definitionOfFunction</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">It is a common mistake to use = instead of :=</Text-field>
</Input>
</Group>
<Group labelreference="L73" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L71" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal">Example.  To define f(x) = <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mi(&quot;x&quot;), Typesetting:-mn(&quot;2&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>  in Maple you write the command</Text-field>
</Input>
</Group>
<Group labelreference="L81" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">f:= x-&gt;x^2;</Text-field>
</Input>
<Output>
<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
</Output>
</Group>
<Group labelreference="L78" drawlabel="true">
<Output>
<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
</Output>
</Group>
<Group labelreference="L77" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal">Once you have defined the function you can use the usual notation to evaluate the function at points in the domain</Text-field>
</Input>
</Group>
<Group labelreference="L79" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">f(5);</Text-field>
</Input>
<Output>
<Text-field style="Maple Output" layout="Maple Output" linespacing="0.5"></Text-field>
</Output>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">f(-3);</Text-field>
</Input>
</Group>
<Group labelreference="L74" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L82" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Restart </Font>    It often causes trouble to use the same letter to define a function or expression without clearing the memory. To clear the memory we use the <Font bold="true" style="Text">restart</Font>;   command.   This has the effect of removing all definitions from the computers memory.  If there are definitions that you still want to use you must go back, put the cursor on the line with the definition and hit enter.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Text" bold="true" layout="Normal"><Font bold="true"> </Font></Text-field>
</Input>
</Group>
<Group labelreference="L140" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal" alignment="centred"><Font bold="true" style="Text">  The plot command</Font>  </Text-field>
<Text-field style="Normal" layout="Normal">  The feature of Maple that we will use the most is the ability to draw detailed graphs.  The basic command is named <Font bold="true" style="Text">plot</Font>.  A typical statement has the form           <Font bold="true" style="Text">plot (expression in x , x=a..b);</Font></Text-field>
</Input>
</Group>
<Group labelreference="L133" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
</Input>
</Group>
<Group labelreference="L129" drawlabel="true">
<Input>
<Text-field style="Normal" layout="Normal">Example:   Draw the graph of the function  f:(x) =  <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mi(&quot;x&quot;), Typesetting:-mn(&quot;3&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;\342\210\222&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;)), Typesetting:-mo(&quot;+&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;1&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation> showing x values between -2 and 4.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">The first step is to name the function.</Text-field>
</Input>
</Group>
<Group labelreference="L146" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"> f:= x-&gt; x^3-2*x + 1;
</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L136" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Now that the function is named we use the plot command as follows.</Text-field>
</Input>
</Group>
<Group labelreference="L137" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(f(x),x=-2..4);
</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"></Text-field>
</Output>
</Group>
<Group labelreference="L142" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">To use the plot command effectively you must choose the domain that best suits your problem.</Text-field>
</Input>
</Group>
<Group labelreference="L130" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Topic 2:  Finding zeroes of a function with plot</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal">Example:  Use the plot command to find, to an accuracy of three decimal places, a positive value of x such that  f(x)=0 </Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">It appears that there is a crossing around 0.8 so we use this as the center of plot interval.</Text-field>
</Input>
</Group>
<Group labelreference="L131" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L139" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(f(x),x=0.4..1.2);
</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"></Text-field>
</Output>
</Group>
<Group labelreference="L143" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L144" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Now we have a pretty good idea about the crossing.  Let's refine our graph for the pont near 0.6</Text-field>
</Input>
</Group>
<Group labelreference="L135" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plot(f(x),x=0.6..0.64);
</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"></Text-field>
</Output>
</Group>
<Group labelreference="L127" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L145" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Since we want three decimal place accuracy we keep refining the plot.</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L134" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="2D Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;plot&quot;), Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;f&quot;), Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mo(&quot;,&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;verythickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;0.6175&quot;), Typesetting:-mo(&quot;..&quot;, form = &quot;postfix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;0.6185&quot;), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mo(&quot;;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;true&quot;, lspace = &quot;0em&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[255,0,0]&quot;, background = &quot;[255,255,255]&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">We can now be sure that the crossing is 0.618 to an accuracy of three places.</Text-field>
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<Text-field prompt="&gt; " style="2D Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mi(&quot;%?&quot;)">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</Equation></Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignment Part 4)</Font>  Use the plot command to determine how many times  the graph of y = x^5 -2*x^3 + x^2 -7 crosses the x-axis.  Find one of the crossings to an accuracy of 3 decimal places.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Normal" layout="Normal" alignment="centred"><Font bold="true">Interactive graph plotting</Font></Text-field>
<Text-field style="Normal" layout="Normal" alignment="centred"></Text-field>
<Text-field style="Normal" bold="true" layout="Normal"><Font bold="false"> You can also plot the graph without remembering the exact command</Font></Text-field>
<Text-field style="Normal" bold="true" layout="Normal"></Text-field>
<Text-field style="Normal" bold="true" layout="Normal"></Text-field>
<Text-field style="Normal" bold="true" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="f(x)">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</Equation></Text-field>
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<Text-field style="Text" layout="Normal">Right click on the blue f(x) above and choose plot and then plot builder from the menu that appears.  Then choose plot.  </Text-field>
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<Text-field style="Text" layout="Normal">The graph appears and also the explicit command that we could have typed.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="plot(x^3-2*x+1, x = -10 .. 10, color = red)">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</Equation></Text-field>
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<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">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</Plot></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;))">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Typesetting:-mrow(Typesetting:-mo(&quot; &quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Input&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;))">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2M1ExJkludmlzaWJsZVRpbWVzO0YnLyUlZm9ybUdRIUYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUnbHNwYWNlR1EkMGVtRicvJSdyc3BhY2VHRjkvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKG1heHNpemVHUSlpbmZpbml0eUYnLyUobWluc2l6ZUdRIjFGJy8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJy8lJXNpemVHUSMxMkYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGKw==</Equation></Text-field>
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<Text-field style="Text" layout="Normal">You can change the range and domain interactively by   right clicking on the graph above and select Axes and then Range from the menu.  Then choose the domain and range that you want.  </Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Assignment Part 5</Font>      Experiment with this feature to recreate what we did above with explicit formulas.</Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal">Topic 3: Plotting several graphs at once</Text-field>
<Text-field style="Normal" layout="Normal">It is often useful to plot several graphs on the same set of axes.  This is done by putting them inside {      }.  In Maple language this creates a<Font bold="true" style="Text"> list </Font>of functions and all of the functions in the list are plotted together.</Text-field>
<Text-field style="Normal" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart;</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">f:= x-&gt; -x;
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">g:= x-&gt; 2*x+4;
</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">h:= x-&gt; 3;
</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">
plot({f(x),g(x),h(x)},x =-5..5);
</Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignment Part 6:</Font>  On the same set of axes draw the graphs of <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mi(&quot;x&quot;), Typesetting:-mn(&quot;2&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>, <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mi(&quot;x&quot;), Typesetting:-mn(&quot;2&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;+&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;3&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation> and <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mi(&quot;x&quot;), Typesetting:-mn(&quot;2&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;\342\210\222&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;2&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2OVEhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJSpzdWJzY3JpcHRHRjcvJSxzdXBlcnNjcmlwdEdGNy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y3LyUrZXhlY3V0YWJsZUdGNy8lKXJlYWRvbmx5R0Y3LyUpY29tcG9zZWRHRjcvJSpjb252ZXJ0ZWRHRjcvJStpbXNlbGVjdGVkR0Y3LyUscGxhY2Vob2xkZXJHRjcvJTBmb250X3N0eWxlX25hbWVHUSsyRH5Db21tZW50RicvJSptYXRoY29sb3JHRkMvJS9tYXRoYmFja2dyb3VuZEdGRi8lK2ZvbnRmYW1pbHlHRjEvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUpbWF0aHNpemVHRjQtRiM2Ji1GLDY5USJ5RidGL0YyRjVGOEY7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRlhGWkZmbkZobkZbby1JI21vR0YkNjNRIj1GJy8lJWZvcm1HUSZpbmZpeEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjcvJSdsc3BhY2VHUS90aGlja21hdGhzcGFjZUYnLyUncnNwYWNlR0ZfcC8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobWF4c2l6ZUdRKWluZmluaXR5RicvJShtaW5zaXplR1EiMUYnLyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJTBmb250X3N0eWxlX25hbWVHRlcvJSVzaXplR0Y0LyUrZm9yZWdyb3VuZEdGQy8lK2JhY2tncm91bmRHRkYtRiM2JkYrLUYjNiVGKy1JJW1zdXBHRiQ2JS1GLDY5USJ4RidGL0YyRjVGOEY7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRlhGWkZmbkZobkZbby1JI21uR0YkNjlRIjJGJ0YvRjJGNS9GOUY3RjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGWEZaRmZuL0ZpblEnbm9ybWFsRidGW28vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRistRmNvNjNRKCZtaW51cztGJ0Zmb0Zpb0ZbcC9GXnBRMG1lZGl1bW1hdGhzcGFjZUYnL0ZhcEZic0ZicEZkcEZmcEZpcEZccUZecUZgcUZicUZkcUZmcUZocUZkckYrRis=</Equation>.   Which color graph goes with which equation?  Describe in detail how adding a constant to a function changes the graph.  Does it matter if you add a positive or a negative number? How?</Text-field>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignment Part 7:</Font> On the same set of axes draw the graphs of  <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sin&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;x&quot;)), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>, <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sin&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mfrac(Typesetting:-mrow(Typesetting:-mi(&quot;x&quot;)), Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;)), linethickness = &quot;1&quot;, denomalign = &quot;center&quot;, numalign = &quot;center&quot;, bevelled = &quot;false&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation> and <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;y&quot;), Typesetting:-mo(&quot;=&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;thickmathspace&quot;, rspace = &quot;thickmathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;sin&quot;), Typesetting:-mo(&quot;&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;(&quot;, form = &quot;prefix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;thinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;)&quot;, form = &quot;postfix&quot;, fence = &quot;true&quot;, separator = &quot;false&quot;, lspace = &quot;thinmathspace&quot;, rspace = &quot;verythinmathspace&quot;, stretchy = &quot;true&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>       with domain x= <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mo(&quot;\342\210\222&quot;, form = &quot;prefix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;Pi&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mo(&quot;..&quot;, form = &quot;postfix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mrow(Typesetting:-mn(&quot;2&quot;), Typesetting:-mo(&quot; &quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;Pi&quot;)), Typesetting:-mi(&quot;&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>.   In Maple <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;Pi&quot;))">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</Equation> is written Pi   <Font style="Text" underline="true">(not pi and not PI)</Font>.  Which color graph goes with which equation?  Describe in detail how multiplying a function by a positive constant changes the graph.  Does it matter if you multiply by a number bigger than one or smaller than one?  How?</Text-field>
</Input>
</Group>
<Group labelreference="L171" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
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<Text-field style="Normal" layout="Normal"><Font bold="true" style="Text">Assignment Part 8:</Font>   <Font bold="true" style="Text"> </Font>Let f(x) = <Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mo(&quot;e&quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mo(&quot;+&quot;, form = &quot;infix&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;mediummathspace&quot;, rspace = &quot;mediummathspace&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mn(&quot;1&quot;)), Typesetting:-mi(&quot;&quot;))">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</Equation>.   (<Font style="Text" underline="true">The Maple name of </Font><Equation executable="false" style="Normal" input-equation="Typesetting:-mrow(Typesetting:-mi(&quot;&quot;), Typesetting:-msup(Typesetting:-mo(&quot;e&quot;, form = &quot;&quot;, fence = &quot;false&quot;, separator = &quot;false&quot;, lspace = &quot;0em&quot;, rspace = &quot;0em&quot;, stretchy = &quot;false&quot;, symmetric = &quot;false&quot;, maxsize = &quot;infinity&quot;, minsize = &quot;1&quot;, largeop = &quot;false&quot;, movablelimits = &quot;false&quot;, accent = &quot;false&quot;, font_style_name = &quot;2D Comment&quot;, size = &quot;12&quot;, foreground = &quot;[0,0,0]&quot;, background = &quot;[255,255,255]&quot;), Typesetting:-mi(&quot;x&quot;), superscriptshift = &quot;0&quot;), Typesetting:-mi(&quot;&quot;))">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</Equation><Font style="Text" underline="true"> is exp(x).  Never write e^x or exp^x.</Font> ) On the same set of axes draw the graphs of y=f(x) and y = -f(x).  Describe in detail how multiplying a function by -1 changes the graph.</Text-field>
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