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    Calculus A Complete Course
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    Exam 15: Multiple Integration
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    Let S Be the Solid That Occupies the Region Given\(\le\)
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Let S Be the Solid That Occupies the Region Given ≤\le≤

Question 60

Question 60

Multiple Choice

Let S be the solid that occupies the region given by 0 ≤\le≤ x ≤\le≤ 1 - y2, 0 ≤\le≤ y ≤\le≤ 1, 0 ≤\le≤ z ≤\le≤ 2y. If the density of the solid at the point (x , y , z) is given by  Let S be the solid that occupies the region given by 0  \le  x  \le  1 - y<sup>2</sup>, 0  \le  y  \le 1, 0  \le  z  \le  2y. If the density of the solid at the point (x , y , z)  is given by   (x , y , z)  = 12z, calculate the moment of the solid about the xz-plane. A)    B)    C)  2 D)  - 4 E)  - 48 (x , y , z) = 12z, calculate the moment of the solid about the xz-plane.


A)  Let S be the solid that occupies the region given by 0  \le  x  \le  1 - y<sup>2</sup>, 0  \le  y  \le 1, 0  \le  z  \le  2y. If the density of the solid at the point (x , y , z)  is given by   (x , y , z)  = 12z, calculate the moment of the solid about the xz-plane. A)    B)    C)  2 D)  - 4 E)  - 48
B)  Let S be the solid that occupies the region given by 0  \le  x  \le  1 - y<sup>2</sup>, 0  \le  y  \le 1, 0  \le  z  \le  2y. If the density of the solid at the point (x , y , z)  is given by   (x , y , z)  = 12z, calculate the moment of the solid about the xz-plane. A)    B)    C)  2 D)  - 4 E)  - 48
C) 2
D) - 4
E) - 48

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