Deck 12: Section 2: Vector-Valued Functions
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Deck 12: Section 2: Vector-Valued Functions
1
Find
given the following vector function. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)


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


A)

B)

C)

D)

E)


3
Use the properties of the derivative to find
given the following vector-valued functions. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)


4
Evaluate the definite integral below. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Find the indefinite integral below.
Do not include an arbitrary constant vector.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Find
given the following vector function. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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7
Find the vectors
and
for the following vector function. 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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8
Find the indefinite integral below.
Do not include an arbitrary constant vector.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Find the indefinite integral below.
Do not include an arbitrary constant vector.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Evaluate the definite integral below. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
Use the properties of the derivative to find
given the vector-valued function below. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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12
Find the open interval on which the curve given by the vector-valued function
is smooth.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Use the properties of the derivative to find
given the following vector-valued functions. 
A) 2
B)
C)
D) 5
E)


A) 2
B)

C)

D) 5
E)

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14
Find
given the following vector function. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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15
Find
given the following vector function. 
A) cost sint
B) -34
C) 34
D) -16 sin t cos t
E) 3


A) cost sint
B) -34

C) 34

D) -16 sin t cos t
E) 3

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16
Use the properties of the derivative to find
given the following vector-valued functions. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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17
Find
given the following vector function. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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18
Find
given the following vector function. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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19
Use the properties of the derivative to find
given the following vector-valued functions. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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20
Find
given the following vector function: 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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21
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
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22
Find
given the following. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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23
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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24
Find
given the following. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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