Number 
Question 
Answer 
See the work 
1. 
Evaluate where B is
the box determined by
0 &le x &le 2, 0 &le y &le 3,
and 0 &le z &le 1.
The value is . 
1151.21 
The work 
2. 
Evaluate the triple integral
where E is the solid
tetrahedon with vertices (0,0,0), (3,0,0), (0,2,0), (0,0,2).

0.6 
The work 
3. 
Evaluate the triple integral
where E is bounded by
the parabolic cylinder and the planes
z = 0, x = 6, and x = 6.

12548357.13 
The work 
4. 
Evaluate the triple integral
where E is the solid
bounded by the paraboloid and x = 10.

104.72 
The work 
5. 
Evaluate the triple integral
where E is the solid
bounded by the cylinder and the planes x = 0, y = 8x and z = 0 in the first octant.

40000 
The work 
6. 
Use a triple integral to find the volume of the solid bounded by
the parabolic cylinder and the planes z = 0, z = 7 and y = 3.

28 
The work 
7. 
Find the volume of the solid enclosed by the paraboloids and .

&pi 
The work 
8. 
Express the integral
as an iterated integral
in six different ways, where E is the solid bounded by
z =0, x = 0, z = y  8x and y = 32.
1.
a = b =
2.
a = b =
3.
a = b =
4.
a = b =
5.
a = b =
6.
a =
b =

1.
a = 0
b = 4
8x
32
0
y8x
2.
a = 0
b = 32
0
y/8
0
y8x
3.
a = 0
b = 32
z
32
0
(yz)/8
4.
a = 0
b = 32
0
y
0
(yz)/8
5.
a = 0
b = 4
0
328x
8x+z
32
6.
a = 0
b = 32
0
4  z/8
8x + z
32

The work 
9. 
question 
Answer 
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10. 
question 
Answer 
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11. 
question 
Answer 
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12. 
question 
Answer 
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13. 
question 
Answer 
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14. 
question 
Answer 
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15. 
question 
Answer 
The work 
