Quiz about Parametric Equations

Question 1

The variable "t" is called a

Accepted Answer

parameter

Answer

parallel

Answer

paralegal

Answer

paradise

Question 2

Converting parametric equations to a rectangular equation is called _________________ the parameter.

Accepted Answer

eliminating

Answer

finding

Answer

converting

Answer

jumping

Question 3

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y = 4t + 1

Accepted Answer

(-5, 13)

Answer

(13, -5)

Answer

(5, 13)

Answer

(13, 5)

Question 4

Which set of parametric equations satisfies the given data table?

Accepted Answer

x(t) = t³ - 1

y(t) = t + 2

Answer

x(t) = t³ - 1

y(t) = 2t

Answer

x(t) = t + 8

y(t) = t + 2

Answer

x(t) = t + 8

y(t) = 2t

Question 5

The coordinates of a car at time t are given by x = 8 - t and y = 2t - 16. As t increases, which direction and path is the car traveling?

Accepted Answer

from right to left along the path y = -2x.

Answer

from left to right along the path y = 2x - 16.

Answer

from left to right along the path y = 2x.

Answer

from left to right along the path y = -2x.

Question 6

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

Eliminate the parameter

x = 3/t

y = 6t + 1

Accepted Answer

y = (18/x) + 1

Answer

y = 18x + 1

Answer

y = 19x

Answer

y = 19/x

Question 8

Graph the parametric equation x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

Accepted Answer

Linear

Answer

Quadratic

Answer

Quartic

Answer

Square Root

Question 9

If $$x=e^{-t}$$ and $$y=\cos\left(2t\right)$$ then $$\frac{dy}{dx}=$$

Accepted Answer

$$\frac{2\sin\left(2t\right)}{e^{-t}}$$

Answer

$$\frac{e^{-t}}{2\sin\left(2t\right)}$$

Answer

$$\frac{-e^{-t}}{2\sin\left(2t\right)}$$

Answer

$$\frac{-2\sin\left(2t\right)}{e^{-t}}$$

Question 10

Find $$\frac{d^2y}{dx^2}$$ for the curve given by $$x=t^2+1$$ and $$y=t^3$$ .

Accepted Answer

$$\frac{3}{4t}$$

Answer

$$\frac{3}{2t}$$

Answer

$$3t$$

Answer

$$\frac{3}{2}$$

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