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Deck 12: Extension E: Multiple Integrals
ملء الشاشة (f)
سؤال
Find the moment of inertia about the y-axis for a cube of constant density 3 and side length 
if one vertex is located at the origin and three edges lie along the coordinate axes.
if one vertex is located at the origin and three edges lie along the coordinate axes.
سؤال
Find the mass of the solid S bounded by the paraboloid 
and the plane 
if S has constant density 3.
A) 15.07
B) 16.25
C) 24.91
D) 13.92
E) 19.63
and the plane if S has constant density 3.A) 15.07
B) 16.25
C) 24.91
D) 13.92
E) 19.63
سؤال
Use a triple integral to find the volume of the solid bounded by 
and the planes 
and 
A)
B)
C)
D)
E)
and the planes and A)
B)
C)
D)
E)
سؤال
Express the triple integral 
as an iterated integral in six different ways using different orders of integration where T is the solid bounded by the planes 
and 
as an iterated integral in six different ways using different orders of integration where T is the solid bounded by the planes and سؤال
Evaluate the triple integral.Round your answer to one decimal place. 
lies under the plane 
and above the region in the 
-plane bounded by the curves 
,and 
lies under the plane and above the region in the -plane bounded by the curves ,and سؤال
Find the mass of the solid E,if E is the cube given by 
and the density function 
is 
and the density function is سؤال
Express the volume of the wedge in the first octant that is cut from the cylinder 
by the planes 
and 
as an iterated integral with respect to z then to y then to x.
by the planes and as an iterated integral with respect to z then to y then to x. سؤال
Sketch the solid whose volume is given by the iterated integral 
سؤال
Evaluate the triple integral.Round your answer to one decimal place. 
سؤال
Express the integral as an iterated integral of the form 
where E is the solid bounded by the surfaces 
where E is the solid bounded by the surfaces سؤال
Calculate the iterated integral. 
A)
B) 8
C)
D)
E) None of these
A)
B) 8
C)
D)
E) None of these
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ملء الشاشة (f)
Deck 12: Extension E: Multiple Integrals
1
Find the moment of inertia about the y-axis for a cube of constant density 3 and side length if one vertex is located at the origin and three edges lie along the coordinate axes.
if one vertex is located at the origin and three edges lie along the coordinate axes.
2
Find the mass of the solid S bounded by the paraboloid and the plane if S has constant density 3.
A) 15.07
B) 16.25
C) 24.91
D) 13.92
E) 19.63
and the plane if S has constant density 3.A) 15.07
B) 16.25
C) 24.91
D) 13.92
E) 19.63
19.63
3
Use a triple integral to find the volume of the solid bounded by and the planes and
A)
B)
C)
D)
E)
and the planes and A)
B)
C)
D)
E)
4
Express the triple integral as an iterated integral in six different ways using different orders of integration where T is the solid bounded by the planes and
as an iterated integral in six different ways using different orders of integration where T is the solid bounded by the planes and فتح الحزمة
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5
Evaluate the triple integral.Round your answer to one decimal place. lies under the plane and above the region in the -plane bounded by the curves ,and
lies under the plane and above the region in the -plane bounded by the curves ,and فتح الحزمة
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6
Find the mass of the solid E,if E is the cube given by and the density function is
and the density function is فتح الحزمة
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7
Express the volume of the wedge in the first octant that is cut from the cylinder by the planes and as an iterated integral with respect to z then to y then to x.
by the planes and as an iterated integral with respect to z then to y then to x. فتح الحزمة
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8
Sketch the solid whose volume is given by the iterated integral
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9
Evaluate the triple integral.Round your answer to one decimal place.
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10
Express the integral as an iterated integral of the form where E is the solid bounded by the surfaces
where E is the solid bounded by the surfaces فتح الحزمة
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11
Calculate the iterated integral.
A)
B) 8
C)
D)
E) None of these
A)
B) 8
C)
D)
E) None of these
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