Lecture18Notes_JNelson - Lecture 18 Parametric Eqns...

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Lecture 18: Parametric Eqns - Tangents, Areas, Arc Length§10.2Example 18.1:Sketch the curve with parametric equationsx=t3-3t, y=t2(no range fortspecified =tR)
How to sketch then?plot points/table of valuesuse some calculusTangents:Given a curve with parametric equationsx=f(t),y=g(t), can we finddydx?
Question: What if bothdydt= 0 anddxdt= 0 at somet*? Need to look at limtt*dydtdxdtWhat aboutd2ydx2? (Hint: Its notd2ydt2d2xdt2)
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