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Deck 14: Section 5: Multiple Integration
Full screen (f)
Question
Set up a double integral that gives the area of the surface of the graph of f over the region R. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the area of the portion of the surface 
that lies above the region 
. Round your answer to two decimal places.
A) 144.00
B) 118.44
C) 904.78
D) 452.39
E) 1,421.22
that lies above the region . Round your answer to two decimal places.A) 144.00
B) 118.44
C) 904.78
D) 452.39
E) 1,421.22
Question
Find the area of the surface of the portion of the plane 
in the first octant.
A)
B)
C)
D)
E)
in the first octant.A)
B)
C)
D)
E)
Question
Find the area of the surface given by 
over the region R. 
R: rectangle with vertices 
A)
B)
C)
D)
E)
over the region R. R: rectangle with vertices A)
B)
C)
D)
E)
Question
Find the area of the surface for the portion of the sphere 
inside the cylinder 
.
A)
B)
C)
D)
E)
inside the cylinder .A)
B)
C)
D)
E)
Question
Set up a double integral that gives the area of the surface of the graph of f over the region R. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Set up a double integral that gives the area of the surface on the graph of 
over the region 
.
A)
B)
C)
D)
E)
over the region .A)
B)
C)
D)
E)
Question
Find the area of the surface given by 
over the region R. 
R: square with vertices 
A)
B)
C)
D)
E)
over the region R. R: square with vertices A)
B)
C)
D)
E)
Question
Find the area of the surface for the portion of the paraboloid 
in the first octant.
A)
B)
C)
D)
E)
in the first octant.A)
B)
C)
D)
E)
Question
Find the area of the portion of the surface 
that lies above the triangular region with vertices 
, and 
.
A) 4
B) 36
C) 18
D) 162
E) 324
that lies above the triangular region with vertices , and .A) 4
B) 36
C) 18
D) 162
E) 324
Question
A company produces a spherical object of radius 17 centimeters. A hole of radius 7 centimeters is drilled through the center of the object. Find the volume of the object.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the area of the portion of the surface 
that lies above the region 
.
A) 72
B) 36
C)
D)
E)
that lies above the region .A) 72
B) 36
C)
D)
E)
Question
Write a double integral that represents the surface area of 
over the region R: triangle with vertices 
. Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places.
A)
B)
C)
D)
E)
over the region R: triangle with vertices . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places.A)
B)
C)
D)
E)
Question
A company produces a spherical object of radius 24 centimeters. A hole of radius 5 centimeters is drilled through the center of the object. Find the outer surface area of the object.
A)
cm3
B)
cm3
C)
cm3
D)
cm3
E)
cm3
A)
cm3B)
cm3C)
cm3D)
cm3E)
cm3 Question
Write a double integral that represents the surface area of 
over the region R: 
. Use a computer algebra system to evaluate the double integral. Round your answer to four decimal places.
A)
B)
C)
D)
E)
over the region R: . Use a computer algebra system to evaluate the double integral. Round your answer to four decimal places.A)
B)
C)
D)
E)
Question
Find the area of the portion of the surface 
that lies above the region 
. Round your answer to two decimal places.
A) 0.05
B) 2.18
C) 11.97
D) 1.22
E) 12.51
that lies above the region . Round your answer to two decimal places.A) 0.05
B) 2.18
C) 11.97
D) 1.22
E) 12.51
Question
Find the area of the portion of the surface 
that lies above the region 
. Round your answer to two decimal places.
A) 9.29
B) 18.58
C) 69.20
D) 5.33
E) 0.65
that lies above the region . Round your answer to two decimal places.A) 9.29
B) 18.58
C) 69.20
D) 5.33
E) 0.65
Question
Find the area of the surface given by 
over the region R. 
A)
B)
C)
D)
E)
over the region R. A)
B)
C)
D)
E)
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Full screen (f)
Deck 14: Section 5: Multiple Integration
1
Set up a double integral that gives the area of the surface of the graph of f over the region R.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the area of the portion of the surface that lies above the region . Round your answer to two decimal places.
A) 144.00
B) 118.44
C) 904.78
D) 452.39
E) 1,421.22
that lies above the region . Round your answer to two decimal places.A) 144.00
B) 118.44
C) 904.78
D) 452.39
E) 1,421.22
904.78
3
Find the area of the surface of the portion of the plane in the first octant.
A)
B)
C)
D)
E)
in the first octant.A)
B)
C)
D)
E)
4
Find the area of the surface given by over the region R. R: rectangle with vertices
A)
B)
C)
D)
E)
over the region R. R: rectangle with vertices A)
B)
C)
D)
E)
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5
Find the area of the surface for the portion of the sphere inside the cylinder .
A)
B)
C)
D)
E)
inside the cylinder .A)
B)
C)
D)
E)
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6
Set up a double integral that gives the area of the surface of the graph of f over the region R.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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7
Set up a double integral that gives the area of the surface on the graph of over the region .
A)
B)
C)
D)
E)
over the region .A)
B)
C)
D)
E)
Unlock Deck
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8
Find the area of the surface given by over the region R. R: square with vertices
A)
B)
C)
D)
E)
over the region R. R: square with vertices A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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9
Find the area of the surface for the portion of the paraboloid in the first octant.
A)
B)
C)
D)
E)
in the first octant.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
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10
Find the area of the portion of the surface that lies above the triangular region with vertices , and .
A) 4
B) 36
C) 18
D) 162
E) 324
that lies above the triangular region with vertices , and .A) 4
B) 36
C) 18
D) 162
E) 324
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
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11
A company produces a spherical object of radius 17 centimeters. A hole of radius 7 centimeters is drilled through the center of the object. Find the volume of the object.
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
12
Find the area of the portion of the surface that lies above the region .
A) 72
B) 36
C)
D)
E)
that lies above the region .A) 72
B) 36
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
13
Write a double integral that represents the surface area of over the region R: triangle with vertices . Use a computer algebra system to evaluate the double integral. Round your answer to two decimal places.
A)
B)
C)
D)
E)
over the region R: triangle with vertices . Use a computer algebra system to evaluate the double integral. 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
14
A company produces a spherical object of radius 24 centimeters. A hole of radius 5 centimeters is drilled through the center of the object. Find the outer surface area of the object.
A) cm3
B) cm3
C) cm3
D) cm3
E) cm3
A)
cm3B)
cm3C)
cm3D)
cm3E)
cm3 Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
15
Write a double integral that represents the surface area of over the region R: . Use a computer algebra system to evaluate the double integral. Round your answer to four decimal places.
A)
B)
C)
D)
E)
over the region R: . Use a computer algebra system to evaluate the double integral. Round your answer to four 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
Find the area of the portion of the surface that lies above the region . Round your answer to two decimal places.
A) 0.05
B) 2.18
C) 11.97
D) 1.22
E) 12.51
that lies above the region . Round your answer to two decimal places.A) 0.05
B) 2.18
C) 11.97
D) 1.22
E) 12.51
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
17
Find the area of the portion of the surface that lies above the region . Round your answer to two decimal places.
A) 9.29
B) 18.58
C) 69.20
D) 5.33
E) 0.65
that lies above the region . Round your answer to two decimal places.A) 9.29
B) 18.58
C) 69.20
D) 5.33
E) 0.65
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
18
Find the area of the surface given by over the region R.
A)
B)
C)
D)
E)
over the region R. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
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Unlock for access to all 18 flashcards in this deck.
