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<title>
11.1 - Drawing contour maps
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<h2>
11.1 - Drawing contour maps
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<p>Draw a contour map for each of the following functions:
<ol type="a">
<li>$z=f(x,y) = x+y+1$
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The purple line is $z=0$.  And then, $z=1,2,3$:<br>
<span class="answer"><img src="0g/11.1.Draw.png" style="400px"></span><br>
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<!--<li>$z=f(x,y)=x+2y-1$-->
<li>$z=f(x,y)=y-x^2$
<p class="result">
The purple line is $z=0$.  And then, $z=1,2,3$:<br>
<span class="answer"><img src="0g/11.1.Drawx2.png" style="400px"></span><br>
<!-- https://www.desmos.com/calculator/vmekrpmfzz
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</ol>
<p>The procedure involves: 1.) Set $z$ to some constant value, say "0". 2.) Solve the resulting equation to find $y(x)$.
3.) Sketch the $y(x)$ you get on a 2-d $y$ vs $x$ coordinate system, and label it with the value of the "height" ($z$) that you used.   Repeat this procedure for a total of 3 or 4 $z$ values.


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