Parametric Form

Practice Questions

AP Calculus BC › Parametric Form

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1

Draw the graph of $r=sin(2\theta )$ where $0\leq \theta \leq2\pi$ .

2

If and , what is in terms of (rectangular form)?

3

Draw the curve of $r^2=sin(2\theta )$ from $0\leq \theta \leq2\pi$ .

4

Rewrite as a Cartesian equation:

$x = t^{2} + 2t + 1, y = t^{2} - 2t + 1, t \in [-1, 1]$

5

Rewrite as a Cartesian equation:

$x =10^ {t}, y = \sinh t, t \in (0,\infty )$

6

Draw the graph of $r=sin\theta$ from $0\leq \theta \leq2\pi$ .

7

Graph $r^2=cos(2\theta )$ where $0\leq \theta \leq2\pi$ .

8

Given and , what is the arc length between $0\leqt\leq t\leq4$ ?

9

Find dy/dx at the point corresponding to the given value of the parameter without eliminating the parameter:

$x=5\sec(t),y=3\tan(t), t=\frac{\pi}{6}$

10

Given and , what is the length of the arc from $0\leq t\leq2$ ?

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