Write $r=9\sin \theta$ as a pair of parametric equations in $\theta$.

Find $\frac{dy}{dx}$ for $r=3\sin \theta$ at $\theta =\frac{\pi }{6}$, with $\theta$ in radians.

Find $\frac{dy}{dx}$ for $r=4$ at $\theta =\frac{5\pi }{6}$, with $\theta$ in radians.

For $r=5\cos \theta$ on $0\le \theta \le \frac{\pi }{2}$, at which angle is the tangent line VERTICAL?

Find $\frac{dy}{dx}$ for $r=4\sin \theta$ at $\theta =\frac{\pi }{3}$, with $\theta$ in radians.

Write $r=6\cos \theta$ as a pair of parametric equations in $\theta$.

For $r=7\sin \theta$ on $0\le \theta \le \frac{\pi }{2}$, at which angle is the tangent line HORIZONTAL?

Find $\frac{dy}{dx}$ for $r=6\cos \theta$ at $\theta =\frac{\pi }{2}$, with $\theta$ in radians.

A student computes the slope of $r=2-3\cos \theta$ at $\theta =\frac{\pi }{2}$ by differentiating $r$ with respect to $\theta$ and evaluating. What went wrong?

A student finds the slope of $r=2+\sin \theta$ at $\theta =\pi$ by evaluating $\frac{dr}{d\theta }$ and gets $-1$. What is the actual slope $\frac{dy}{dx}$ there?

Find $\frac{dy}{dx}$ for $r=2$ at $\theta =\frac{3\pi }{4}$, with $\theta$ in radians.

Find $\frac{dy}{dx}$ for $r=4$ at $\theta =\frac{\pi }{3}$, with $\theta$ in radians.

Find $\frac{dy}{dx}$ for $r=5\cos \theta$ at $\theta =\frac{\pi }{4}$, with $\theta$ in radians.

For $r=2\cos \theta$ on $0\le \theta \le \frac{\pi }{2}$, at which angle is the tangent line HORIZONTAL?

For $r=3\sin \theta$ on $0\le \theta \le \frac{\pi }{2}$, at which angle is the tangent line VERTICAL?

Find $\frac{dy}{dx}$ for $r=2\sin \theta$ at $\theta =\frac{5\pi }{6}$, with $\theta$ in radians.

Find $\frac{dy}{dx}$ for $r=6\cos \theta$ at $\theta =\frac{\pi }{6}$, with $\theta$ in radians.

Find $\frac{dy}{dx}$ for $r=1+\cos \theta$ at $\theta =\frac{2\pi }{3}$, with $\theta$ in radians.

Write $r=2\cos \theta$ as a pair of parametric equations in $\theta$.

Find $\frac{dy}{dx}$ for $r=4$ at $\theta =\frac{\pi }{4}$, with $\theta$ in radians.