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Deck 15: Section 2: Vector Analysis
Full screen (f)
Question
Find the total mass of the wire with density 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Find the area of the lateral surface over the curve C in the xy-plane and under the surface 
where Lateral surface 
. 
line from 
.
A)
B)
C)
D)
E)
where Lateral surface . line from .A)
B)
C)
D)
E)
Question
Find the work done by a person weighing 
pounds walking exactly one revolution up a circular helical staircase of radius 
feet if the person rises 
feet.
A)
B)
C)
D)
E)
pounds walking exactly one revolution up a circular helical staircase of radius feet if the person rises feet.A)
B)
C)
D)
E)
Question
Evaluate 
along the path C, defined as counterclockwise along the circle 
from 
to 
.
A)
B)
C)
D)
E)
along the path C, defined as counterclockwise along the circle from to .A)
B)
C)
D)
E)
Question
Evaluate the line integral along the path C given by 
, where 
. 
A)
B)
C)
D)
E)
, where . A)
B)
C)
D)
E)
Question
Evaluate 
along the path C, defined as y-axis from 
.
A)
B)
C)
D)
E)
along the path C, defined as y-axis from .A)
B)
C)
D)
E)
Question
Evaluate 
where C is represented by 
. 
A)
B)
C)
D)
E)
where C is represented by . A)
B)
C)
D)
E)
Question
Evaluate 
where C is represented by 
. 
A)
B)
C)
D)
E)
where C is represented by . A)
B)
C)
D)
E)
Question
Find the work done by the force field 
on a particle moving along the given path. 
from 
to 
.
A)
B)
C)
D)
E)
on a particle moving along the given path. from to .A)
B)
C)
D)
E)
Question
Evaluate 
where 
and 
.
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
Question
Find a piecewise smooth parametrization of the path C given in the following graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
along the path C, defined as y-axis from 
.
A)
B)
C)
D)
E)
along the path C, defined as y-axis from .A)
B)
C)
D)
E)
Question
Find a piecewise smooth parametrization of the path C given in the following graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the work done by the force field 
on a particle moving along the given path. 
from (0,0) to 
.
A)
B)
C)
D)
E)
on a particle moving along the given path. from (0,0) to .A)
B)
C)
D)
E)
Question
A tractor engine has a steel component with a circular base modeled by the vector-valued function 
. Its height is given by 
. (All measurements of the component are given in centimeters.) Find the lateral surface area of the component. Round your answer to two decimal places.
A)
B)
C)
D)
E)
. Its height is given by . (All measurements of the component are given in centimeters.) Find the lateral surface area of the component. Round your answer to two decimal places.A)
B)
C)
D)
E)
Question
Evaluate the integral 
along the path C, defined as 
from 
A)
B)
C)
D)
E)
along the path C, defined as from A)
B)
C)
D)
E)
Question
Evaluate the line integral along the given path. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the moments of inertia for a wire that lies along 
with density 
.
A)
B)
C)
D)
E)
with density .A)
B)
C)
D)
E)
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Full screen (f)
Deck 15: Section 2: Vector Analysis
1
Find the total mass of the wire with density .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
2
Find the area of the lateral surface over the curve C in the xy-plane and under the surface where Lateral surface . line from .
A)
B)
C)
D)
E)
where Lateral surface . line from .A)
B)
C)
D)
E)
3
Find the work done by a person weighing pounds walking exactly one revolution up a circular helical staircase of radius feet if the person rises feet.
A)
B)
C)
D)
E)
pounds walking exactly one revolution up a circular helical staircase of radius feet if the person rises feet.A)
B)
C)
D)
E)
4
Evaluate along the path C, defined as counterclockwise along the circle from to .
A)
B)
C)
D)
E)
along the path C, defined as counterclockwise along the circle from to .A)
B)
C)
D)
E)
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5
Evaluate the line integral along the path C given by , where .
A)
B)
C)
D)
E)
, where . A)
B)
C)
D)
E)
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6
Evaluate along the path C, defined as y-axis from .
A)
B)
C)
D)
E)
along the path C, defined as y-axis from .A)
B)
C)
D)
E)
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7
Evaluate where C is represented by .
A)
B)
C)
D)
E)
where C is represented by . A)
B)
C)
D)
E)
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8
Evaluate where C is represented by .
A)
B)
C)
D)
E)
where C is represented by . A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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9
Find the work done by the force field on a particle moving along the given path. from to .
A)
B)
C)
D)
E)
on a particle moving along the given path. from to .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
10
Evaluate where and .
A)
B)
C)
D)
E)
where and .A)
B)
C)
D)
E)
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11
Find a piecewise smooth parametrization of the path C given in the following graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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12
Evaluate the integral along the path C, defined as y-axis from .
A)
B)
C)
D)
E)
along the path C, defined as y-axis from .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
13
Find a piecewise smooth parametrization of the path C given in the following graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
14
Find the work done by the force field on a particle moving along the given path. from (0,0) to .
A)
B)
C)
D)
E)
on a particle moving along the given path. from (0,0) to .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
15
A tractor engine has a steel component with a circular base modeled by the vector-valued function . Its height is given by . (All measurements of the component are given in centimeters.) Find the lateral surface area of the component. Round your answer to two decimal places.
A)
B)
C)
D)
E)
. Its height is given by . (All measurements of the component are given in centimeters.) Find the lateral surface area of the component. Round your answer to two decimal places.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
16
Evaluate the integral along the path C, defined as from
A)
B)
C)
D)
E)
along the path C, defined as from A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
17
Evaluate the line integral along the given path.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
18
Find the moments of inertia for a wire that lies along with density .
A)
B)
C)
D)
E)
with density .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
