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Deck 12: Extension H: Multiple Integrals
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Question
Evaluate the integral by making an appropriate change of variables.Round your answer to two decimal places. 
R is the parallelogram bounded by the lines 
R is the parallelogram bounded by the lines 
Question
Use the given transformation to evaluate the integral. 
,where R is the square with vertices (0,0),(4,6),(6, 
),(10,2)and 
A) 208
B) 42
C) 312
D) 52
E) 343
,where R is the square with vertices (0,0),(4,6),(6, ),(10,2)and A) 208
B) 42
C) 312
D) 52
E) 343
Question
Find the Jacobian of the transformation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the transformation 
to evaluate the integral 
,where R is the region bounded by the ellipse 
A)
B)
C)
D)
E)
to evaluate the integral ,where R is the region bounded by the ellipse A)
B)
C)
D)
E)
Question
Use the given transformation to evaluate the integral. 
,where R is the region in the first quadrant bounded by the lines 
and the hyperbolas 
A) 4.447
B) 3.296
C) 5.088
D) 9.447
E) 8.841
,where R is the region in the first quadrant bounded by the lines and the hyperbolas A) 4.447
B) 3.296
C) 5.088
D) 9.447
E) 8.841
Question
Find the Jacobian of the transformation. 
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Deck 12: Extension H: Multiple Integrals
1
Evaluate the integral by making an appropriate change of variables.Round your answer to two decimal places. R is the parallelogram bounded by the lines
R is the parallelogram bounded by the lines 
2
Use the given transformation to evaluate the integral. ,where R is the square with vertices (0,0),(4,6),(6, ),(10,2)and
A) 208
B) 42
C) 312
D) 52
E) 343
,where R is the square with vertices (0,0),(4,6),(6, ),(10,2)and A) 208
B) 42
C) 312
D) 52
E) 343
312
3
Find the Jacobian of the transformation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Use the transformation to evaluate the integral ,where R is the region bounded by the ellipse
A)
B)
C)
D)
E)
to evaluate the integral ,where R is the region bounded by the ellipse A)
B)
C)
D)
E)
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5
Use the given transformation to evaluate the integral. ,where R is the region in the first quadrant bounded by the lines and the hyperbolas
A) 4.447
B) 3.296
C) 5.088
D) 9.447
E) 8.841
,where R is the region in the first quadrant bounded by the lines and the hyperbolas A) 4.447
B) 3.296
C) 5.088
D) 9.447
E) 8.841
Unlock Deck
Unlock for access to all 6 flashcards in this deck.
Unlock Deck
k this deck
6
Find the Jacobian of the transformation.
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Unlock for access to all 6 flashcards in this deck.
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Unlock Deck
Unlock for access to all 6 flashcards in this deck.
