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<title>
10.1 - Reading questions
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<h2>[10.1] - Reading Assignment
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<p>After reading section 10.1...


<ol>
<li><img src="0g/9.7.bounce.jpg" class="rightalign">This is a graph of the parametric curve $x(t)=\sin t$, $y(t)=
|\cos (2t)|$, for $-\pi\lt t \lt \pi$.<br><br>
Write an equation of a position vector function, $\myv r(t)$ which describes the same curve. (This is not meant to be difficult!)

<p class="answer">
$$\myv r(t)=\langle \sin t, |\cos(2t)|\rangle\ \ \  \text{for }-\pi \lt t \lt \pi, $$
or
$$\myv r(t)=\sin t\,\uv i + |\cos(2t)|\,\uv j\ \ \  \text{for }-\pi \lt t \lt \pi.$$

<li>Sketch the curve described by the parametric, 2-d position vector function $(x,y)=\myc{t^3,t}$ where $t$ can take on any real value.
<p class="result">
Since $y=t$, we could write $x=t^3$ as $x=y^3$.  So, think of $x$ as a function of $y$:  $x(y)=y^3$, which looks like...
<br><img src="0g/10.1.tcubed.jpg" style="width: 400px" class="answer"><b>


<li>Muddy questions? Questions you wonder about?
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