Question 1

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

Accepted Answer

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C)    
D)    
E)    
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E)

Question 2

Find the open interval on which the curve given by the vector-valued function   is smooth.

Accepted Answer

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E)

Question 3

given the following vector function.

Accepted Answer

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E)

Question 4

Use the properties of the derivative to find   given the following vector-valued functions.

Accepted Answer

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E)

Question 5

given the functions below.

Accepted Answer

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E)

Question 6

Evaluate the definite integral below.

Accepted Answer

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Question 7

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Accepted Answer

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B)    
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E)

Question 8

Find   given the following vector function.

Accepted Answer

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B)    
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D)    
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A)    
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E)

Question 9

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

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

Accepted Answer

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E)

Question 11

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

Accepted Answer

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B)    
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E)

Question 12

Evaluate the limit given below.

Accepted Answer

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

Question 13

Use the properties of the derivative to find   given the following vector-valued functions.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Evaluate the limit given below.

Accepted Answer

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

Question 15

Match the equation with the graph shown in red below.

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
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.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

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

Find the open interval on which the curve given by the vector-valued function is smooth.

given the following vector function.

Use the properties of the derivative to find given the following vector-valued functions.

given the functions below.

Evaluate the definite integral below.

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Find given the following vector function.

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

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

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

Evaluate the limit given below.

Use the properties of the derivative to find given the following vector-valued functions.

Evaluate the limit given below.

Match the equation with the graph shown in red below.

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

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters

Exam 12: Vector-Valued Functions

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

Find the open interval on which the curve given by the vector-valued function is smooth.

given the following vector function.

Use the properties of the derivative to find given the following vector-valued functions.

given the functions below.

Evaluate the definite integral below.

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Find given the following vector function.

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

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

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

Evaluate the limit given below.

Use the properties of the derivative to find given the following vector-valued functions.

Evaluate the limit given below.

Match the equation with the graph shown in red below.

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

Find a vector-valued function, using the given parameter, to represent the intersection of the surfaces given below.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters