14. Parametric and Polar Calculus

Parametric Curves And Derivatives — Quiz

Test your understanding of parametric curves and derivatives with 5 practice questions.

Practice Questions

Question 1

For $x=t^2+1$ and $y=3t-2$, what is $\frac{dy}{dx}$ at $t=2$?

Question 2

For $x=\cos t$ and $y=\sin t$, what is $\frac{dy}{dx}$ at $t=\pi/4$?

Question 3

For $x=2t-1$ and $y=t^2$, what point on the curve corresponds to $t=3$?

Question 4

For $x=t^3-3t$ and $y=t^2$, at what value of $t$ does the curve have a horizontal tangent?

Question 5

For $x=t^3$ and $y=t+1$, at what value of $t$ does the curve have a vertical tangent?