9. Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Defining Polar Coordinates And Differentiating In Polar Form — Quiz

Test your understanding of defining polar coordinates and differentiating in polar form with 5 practice questions.

Practice Questions

Question 1

In polar coordinates, what does the point $(r,\theta)$ represent?

Question 2

Which of the following is an equivalent polar representation of the point $(-3,\,\pi)$?

Question 3

Which rectangular-coordinate equation corresponds to the polar equation $r = 4\cos\theta$?

Question 4

If $r = f(\theta)$, what is the correct formula for $\dfrac{dy}{dx}$ in polar form?

Question 5

For the polar curve $r = 2\sin\theta$, what is the slope $\dfrac{dy}{dx}$ at $\theta = \dfrac{\pi}{2}$?