Deck 12: Section 1: Vector-Valued Functions

Question 1

Evaluate (if possible) the vector-valued function at the point given.

A)
B)
C)
D)
E)

Answer 1

Question 2

The graph below is most likely the graph of which of the following equations..

A)
B)
C)
D)
E)

Answer 2

Question 3

Find the domain of the vector-valued function given below.

A)
B)
C)
D)
E)

Answer 3

Question 4

Match the equation with the graph shown in red below.

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B)
C)
D)
E)

Question 5

Given the vector-valued function below, evaluate .

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B)
C)
D)
E)

Question 6

Determine the interval on which the vector-valued function is continuous.

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B)
C)
D)
E)

Question 7

Find given the functions below.

A)
B)
C)
D)
E)

Question 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)

Question 9

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)

Question 10

Evaluate the limit given below.

A)
B)
C)
D)
E) The limit does not exist.

Question 11

Find the domain of the vector-valued function given below.

A)
B)
C)
D)
E)

Question 12

Find given the function r(t) below.

A)
B)
C)
D)
E)

Question 13

Sketch the curve represented by the vector-valued function and give the orientation of the curve.

A)
B)
C)
D)
E)

Question 14

Represent the following curve by a vector-valued function.

A)
B)
C)
D)
E)

Question 15

Evaluate the limit given below.

A)
B)
C)
D)
E) The limit does not exist.

Question 16

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)

Question 17

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)

Question 18

Find given the function r(t) below.

A)
B)
C)
D)
E)

Question 19

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)

Question 20

Sketch the curve represented by the vector-valued function and give the orientation of the curve.

A)
B)
C)
D)
E)

Question 21

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)
B)
C)
D)
E)