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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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Find the domain of the vector-valued function given below. Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)


A) Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)
B) Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)
C) Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)
D) Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)
E) Find the domain of the vector-valued function given below.   A)    B)    C)    D)    E)

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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


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

Correct Answer

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