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    Calculus A Complete Course
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    Exam 15: Multiple Integration
  5. Question
    Evaluate , Where R Is the Region X<sup>2</sup>\(\le\) 4\(\le\)
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Evaluate , Where R Is the Region X2 ≤\le≤ 4 ≤\le≤

Question 104

Question 104

Multiple Choice

Evaluate  Evaluate   , where R is the region x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  4,    \le  z<sup>2</sup>  \le  3(x<sup>2</sup> + y<sup>2</sup>) , z  \le 0.(Hint: Use spherical coordinates.)  A)  8 \pi  B)  2 \pi  C)  16 \pi  D)  4 \pi  E)  32 \pi , where R is the region x2 + y2 + z2 ≤\le≤ 4,  Evaluate   , where R is the region x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>  \le  4,    \le  z<sup>2</sup>  \le  3(x<sup>2</sup> + y<sup>2</sup>) , z  \le 0.(Hint: Use spherical coordinates.)  A)  8 \pi  B)  2 \pi  C)  16 \pi  D)  4 \pi  E)  32 \pi ≤\le≤ z2 ≤\le≤ 3(x2 + y2) , z ≤\le≤ 0.(Hint: Use spherical coordinates.)


A) 8 π\piπ
B) 2 π\piπ
C) 16 π\piπ
D) 4 π\piπ
E) 32 π\piπ

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