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Deck 15: Section 1: Vector Analysis
Full screen (f)
Question
Find the divergence of the vector field at the given point. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the divergence of the vector field F given by 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Sketch several representative vectors in the vector field given by 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine whether the vector field is conservative. If it is, find a potential function for the vector field. 
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Question
Determine whether the vector field is conservative. If it is, find a potential function for the vector field. 
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Question
Sketch the vector field 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Match the vector field with its graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine whether the vector field is conservative. 
A) conservative
B) not conservative
A) conservative
B) not conservative
Question
Find the conservative vector field for the potential function 
by finding its gradient.
A)
B)
C)
D)
E)
by finding its gradient.A)
B)
C)
D)
E)
Question
Find the divergence of the vector field. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Determine whether the vector field is conservative. If it is, find a potential function for the vector field. 
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Question
Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.) 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the divergence at 
for the vector field 
A)
B)
C)
D)
E)
for the vector field A)
B)
C)
D)
E)
Question
Match the vector field with its graph 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Compute 
for the vector field given by 
.
A)
B)
C)
D)
E)
for the vector field given by .A)
B)
C)
D)
E)
Question
Find the curl for the vector field at the given point. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find 
for the vector field given by 
.
A)
B)
C)
D)
E)
for the vector field given by .A)
B)
C)
D)
E)
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Full screen (f)
Deck 15: Section 1: Vector Analysis
1
Find the divergence of the vector field at the given point.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the divergence of the vector field F given by .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
3
Sketch several representative vectors in the vector field given by .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
4
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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5
Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
6
Determine whether the vector field is conservative. If it is, find a potential function for the vector field.
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
7
Determine whether the vector field is conservative. If it is, find a potential function for the vector field.
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
8
Sketch the vector field .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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k this deck
9
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock for access to all 21 flashcards in this deck.
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10
Match the vector field with its graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
11
Determine whether the vector field is conservative.
A) conservative
B) not conservative
A) conservative
B) not conservative
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Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
12
Find the conservative vector field for the potential function by finding its gradient.
A)
B)
C)
D)
E)
by finding its gradient.A)
B)
C)
D)
E)
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Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
13
Find the divergence of the vector field.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
14
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock Deck
k this deck
15
Determine whether the vector field is conservative. If it is, find a potential function for the vector field.
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
A) conservative with potential function
B) conservative with potential function
C) conservative with potential function
D) conservative with potential function
E) not conservative
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
16
Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.)
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
17
Find the divergence at for the vector field
A)
B)
C)
D)
E)
for the vector field A)
B)
C)
D)
E)
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Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
18
Match the vector field with its graph
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
19
Compute for the vector field given by .
A)
B)
C)
D)
E)
for the vector field given by .A)
B)
C)
D)
E)
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Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
20
Find the curl for the vector field at the given point.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
21
Find for the vector field given by .
A)
B)
C)
D)
E)
for the vector field given by .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 21 flashcards in this deck.
