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

Defining And Differentiating Parametric Equations — Quiz

Test your understanding of defining and differentiating parametric equations with 5 practice questions.

Practice Questions

Question 1

In a parametric equation set, what does the parameter usually do?

Question 2

If $x=t^2$ and $y=t^3$, what is $\frac{dy}{dx}$ in terms of $t$?

Question 3

For the parametric equations $x=3t+1$ and $y=2t-4$, which statement is true?

Question 4

Which formula gives the velocity vector for a particle with position vector $\mathbf{r}(t)=\langle x(t),y(t)\rangle$?

Question 5

If $x=\cos t$ and $y=\sin t$, what is the value of $x^2+y^2$?