Deck 13: Extension C: Vector Calculus
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Deck 13: Extension C: Vector Calculus
1
Find a function f such that
,and use it to evaluate
along the given curve C.






2
Let
where
Which of the following equations does the line segment from
to
satisy?
A)
B)
C) none of these




A)

B)

C) none of these

3
Determine whether F is conservative.If so,find a function f such that

A)
B) not conservative
C)
D)


A)

B) not conservative
C)

D)

not conservative
4
Suppose that F is an inverse square force field,that is,
where
Find the work done by F in moving an object from a point
along a path to a point
in terms of the distances
and
from these points to the origin.






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5
Determine whether or not F is a conservative vector field.If it is,find a function f such that



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