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Find Find   given the following vector function.   A) cost sint B)    C)    D) -16 sin t cos t E)   given the following vector function. Find   given the following vector function.   A) cost sint B)    C)    D) -16 sin t cos t E)


A) cost sint
B) Find   given the following vector function.   A) cost sint B)    C)    D) -16 sin t cos t E)
C) Find   given the following vector function.   A) cost sint B)    C)    D) -16 sin t cos t E)
D) -16 sin t cos t
E) Find   given the following vector function.   A) cost sint B)    C)    D) -16 sin t cos t E)

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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)

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


A) Given the vector-valued function below, evaluate     A)    B)    C)    D)    E)
B) Given the vector-valued function below, evaluate     A)    B)    C)    D)    E)
C) Given the vector-valued function below, evaluate     A)    B)    C)    D)    E)
D) Given the vector-valued function below, evaluate     A)    B)    C)    D)    E)
E) Given the vector-valued function below, evaluate     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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Suppose the two particles travel along the space curves 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)   and 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)   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) 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)
B) 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)
C) 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)
D) 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)
E) 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)

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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A particle moves in the yz-plane along the curve represented by the vector-valued function 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 Find the maximum value of 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


A) 4
B) 3
C) 7
D) 8
E) 5

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C

Determine the interval on which the vector-valued function Determine the interval on which the vector-valued function   s continuous. A)    B)    C)    D)    E)   s continuous.


A) Determine the interval on which the vector-valued function   s continuous. A)    B)    C)    D)    E)
B) Determine the interval on which the vector-valued function   s continuous. A)    B)    C)    D)    E)
C) Determine the interval on which the vector-valued function   s continuous. A)    B)    C)    D)    E)
D) Determine the interval on which the vector-valued function   s continuous. A)    B)    C)    D)    E)
E) Determine the interval on which the vector-valued function   s continuous. 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 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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Find the indefinite integral below. Find the indefinite integral below.   Do not include an arbitrary constant vector. A)    B)    C)    D)    E)   Do not include an arbitrary constant vector.


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

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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A particle moves in the yz-plane along the curve represented by the vector-valued function 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 Find the minimum value of 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


A) 6
B) 4
C) 7
D) 9
E) 8

Correct Answer

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


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

Correct Answer

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


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


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

Correct Answer

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E

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


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

Correct Answer

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B

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


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

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

Correct Answer

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