Deck 13: Extension B: Vector Calculus
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Deck 13: Extension B: Vector Calculus
1
Find the exact mass of a thin wire in the shape of the helix
if the density is 5.
A)
B)
C)
D)
E)
if the density is 5.A)

B)

C)

D)

E)


2
Evaluate the line integral over the given curve C.
,where C is the line segment joining (-2,-1)to (4,5)
,where C is the line segment joining (-2,-1)to (4,5)

3
Evaluate the line integral over the given curve C.
;
, 
A)
B)

C)
D)

;
, 
A)

B)

C)

D)


4
Find the work done by the force field
on a particle that moves along the parabola 
A)
B)
C)
D)
E)
on a particle that moves along the parabola 
A)

B)

C)

D)

E)

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5
Find the work done by the force field
in moving an object along an arch of the cycloid 
in moving an object along an arch of the cycloid 
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6
A thin wire is bent into the shape of a semicircle
If the linear density is
,find the exact mass of the wire.
A)
B)
C)
D)
E)
If the linear density is
,find the exact mass of the wire.A)

B)

C)

D)

E)

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7
Evaluate
where C is the right half of the circle 
A)
B)
C)
D)
E)
where C is the right half of the circle 
A)

B)

C)

D)

E)

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