Free Printable PARAMETRICS!!!

1.

What is a parametric function?

a)

A set of equations with the variable t

b)

A set of equations linked by one or more independent variables

c)

A set of equations with parameters

d)

A set of equations with bounds

2.

In parametric functions, what variable ususally represents the "x" value, or in this case, the parameter?

a)

There are no variables.

b)

x

c)

π

d)

t

3.

In parametric functions, what are parameters?

a)

Infinity

b)

Two random values you are given

c)

The input of a parametric function / third variable that both functions use

d)

(−∞,∞)

4.

What mode should your calculator be in for solving parametric equations ?

a)

FUN

b)

RADIAN

c)

PAR

d)

DEGREE

5.

If given the functions x=x(t) and y=y(t), we differentiate the functions in terms of x

a)

True

b)

False

6.

Solve for "t" in the function x=

a)

$x=8y^2-2$

b)

$x=-2\left(\frac{y+2}{-4}\right)$

c)

$x=2y-2$

d)

$x=8y^2+4y$

7.

Solve for t in the “y=”

a)

$y=2x-2$

b)

$y=-2\left(\frac{x+2}{-4}\right)$

c)

$y=8x^2+4y$

d)

$y=8x^2-2$

8.

X = 2t + 3

Y = t^3 + 4

What point in the plane corresponds to t = 3?

Hint: plug in!! the answers are in (x,y) form

a)

(9,31)

b)

(9, 30)

c)

(3, 31)

d)

(3, 733)

9.

Which parametric equations represent the graph shown above ?

a)

x: cos(t)sin(t)

& y: sin(t)cos(t)

b)

x: sin(t) & y: cos(t)

c)

x: sin(t)cos(t)

& y: cos(t)sin(t)

d)

x: cos(t) &

y: sin(t)

10.

What is dy/dx at t=1?

a)

$\frac{3}{4}$

b)

$\frac{3}{8}$

c)

0

d)

$\frac{1}{8}$

11.

X = 1 + sin(t)

Y = -2 + cos(t)

What point in the plane corresponds to t = pi/2?

a)

(-2,2)

b)

(-1, 1)

c)

(2,-2)

d)

(1,-1)

12.

what is dy/dx ?

a)

$\frac{-\sin\left(4t\right)}{6e^{3t}}$

b)

$\frac{2e^{3t}}{\sin\left(4t\right)}$

c)

4sin(3t)−3cos(4t)/8e^3t

d)

−4sin(4t)

13.

what is dy/dx ?

a)

$\frac{-\cos\left(2t\right)}{\sin\left(3t\right)}$

b)

$-\csc^2\left(6t\right)$

c)

$\frac{\cos\left(2t\right)}{\sin\left(3t\right)}$

d)

−6cos(2t)

14.

Find dy/dx for when t = 4

X(t) = t^3+1

Y(t) = 6t^2 + 3t

a)

17/16

b)

36/35

c)

51/48

d)

18/17

15.

Find the value of dy/dx at t=3

a)

-1/2

b)

2/3

c)

-1/4

d)

-2

16.

Choose ALL variables involved in parametric equations

Hint: remember the variables in the functions

a)

x

b)

t

c)

π

d)

y

17.

Which set of parametric equations satisfies the given data table?

a)

x(t) = t³ - 1
y(t) = 2t

b)

x(t) = t³ - 1
y(t) = t + 2

c)

x(t) = t + 8
y(t) = t + 2

d)

x(t) = t + 8
y(t) = 2t

PARAMETRICS!!!

Total questions: 17

Worksheet time: 43mins

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