# Section 9.7 Vector-Valued Functions

Education

37

All Questions

37

Multiple Choice

0

True False

0

Essay

0

Short Answer

0

Not Answered

Q 1

Find the domain of the vector-valued function given below.
A)[ -∞,4)
B)[0,4]
C)[-4,4]
D)(-∞,∞)
E)[- 4,∞)

Free

Multiple Choice

C

Q 2

Find the domain of the vector-valued function given below.
Where
A)(-∞,∞)
B)[-1,1]
C)[-4,∞)
D)[0,1]
E)[1,∞)

Free

Multiple Choice

B

Q 3

Given the vector-valued function below,evaluate .
A)
B)
C)
D)
E)

Free

Multiple Choice

C

Q 4

Find given the functions below.
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Sketch the curve represented by the vector-valued function and give the orientation of the curve.
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Sketch the curve represented by the vector-valued function and give the orientation of the curve.
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Represent the following curve by a vector-valued function.
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Find a vector-valued function,using the given parameter,to represent the intersection of the surfaces given below. Surfaces
Parameter
A)
B)
C)
D)
E)

Multiple Choice

Q 9

Find a vector-valued function,using the given parameter,to represent the intersection of the surfaces given below. Surfaces
Parameter
A)
B)
C)
D)
E)

Multiple Choice

Q 10

Find a vector-valued function,using the given parameter,to represent the intersection of the surfaces given below. Surfaces
Parameter
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Find a vector-valued function,using the given parameter,to represent the intersection of the surfaces given below. Surfaces
Parameter
A)
B)
C)
D)
E)

Multiple Choice

Q 12

Evaluate the limit given below.
A)
B)
C)
D)
E)The limit does not exist.

Multiple Choice

Q 13

Evaluate the limit given below.
A)
B)
C)
D)
E)The limit does not exist.

Multiple Choice

Q 14

Determine the interval on which the vector-valued function is continuous.
A)(9,∞)
B)(5,∞)
C)[5,∞)
D)[9,∞)
E)(-5,∞)

Multiple Choice

Q 15

Suppose the outer edge of a playground slide is in the shape of a helix of radius 10.5 meters.The slide has a height of 2 meters and makes one complete revolution from top to bottom.Find a vector-valued function for the helix.
A)
B)
C)
D)
E)

Multiple Choice

Q 16

Suppose the two particles travel along the space curves and .A collision will occur at the point of intersection P if both particles are at P at the same time.Find the point of collision.
A)(9,9,9)
B)(9,16,9)
C)(16,9,16)
D)(16,16,16)
E)(8,8,8)

Multiple Choice

Q 17

Find the vectors r(t)and r' (t)for the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 18

Find r' (t)given the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 19

Find r' (t)given the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 20

Find given the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 21

Find given the following vector function:
A)
B)0
C)
D)
E)

Multiple Choice

Q 22

Find given the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 23

Find given the following vector function.
A)
B)
C)
D)
E)

Multiple Choice

Q 24

Find the open interval on which the curve given by the vector-valued function is smooth.
A)
B)
C)
D)
E)

Multiple Choice

Q 25

Use the properties of the derivative to find given the following vector-valued functions.
A)
B)
C)
D)
E)

Multiple Choice

Q 26

Use the properties of the derivative to find given the following vector-valued functions.
A)
B)
C)
D)
E)

Multiple Choice

Q 27

Use the properties of the derivative to find given the following vector-valued functions.
A)
B)
C)
D)
E)

Multiple Choice

Q 28

Use the properties of the derivative to find given the following vector-valued functions.
A)2
B)
C)2t
D)5
E)0

Multiple Choice

Q 29

Use the properties of the derivative to find given the following vector-valued functions.
A)
B)
C)
D)
E)

Multiple Choice

Q 30

Find the indefinite integral below.
Do not include an arbitrary constant vector.
A)
B)
C)
D)
E)

Multiple Choice

Q 31

Find the indefinite integral below.
Do not include an arbitrary constant vector.
A)
B)
C)
D)
E)

Multiple Choice

Q 32

Evaluate the definite integral below.
A)
B)
C)
D)
E)

Multiple Choice

Q 33

Find given the following.
A)
B)
C)
D)
E)

Multiple Choice

Q 34

A particle moves in the yz-plane along the curve represented by the vector-valued function .Find the minimum value of .
A)6
B)4
C)7
D)9
E)8

Multiple Choice

Q 35

A particle moves in the yz-plane along the curve represented by the vector-valued function .Find the maximum value of .
A)4
B)3
C)7
D)8
E)5

Multiple Choice

Q 36

Match the equation with the graph shown in red below.
A)
B)
C)
D)
E)

Multiple Choice

Q 37

The graph below is most likely the graph of which of the following equations?
A)
B)
C)
D)
E)

Multiple Choice