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    Calculus A Complete Course
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    Exam 15: Multiple Integration
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    Evaluate , Where R Is the Region in the First
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Evaluate , Where R Is the Region in the First

Question 72

Question 72

Multiple Choice

Evaluate Evaluate   , where R is the region in the first octant of 3-space bounded by the surfaces y = x<sup>2</sup>, y = x<sup>2</sup> + 1, y = 2 - x<sup>2</sup>, y = 4 - x<sup>2</sup>, z = x<sup>2</sup> + y<sup>2</sup> + 1, andz = x<sup>2</sup> + y<sup>2</sup> + 4. A)    B)  1 C)    D)  2 E)  none of the above , where R is the region in the first octant of 3-space bounded by the surfaces y = x2, y = x2 + 1, y = 2 - x2, y = 4 - x2, z = x2 + y2 + 1, andz = x2 + y2 + 4.


A) Evaluate   , where R is the region in the first octant of 3-space bounded by the surfaces y = x<sup>2</sup>, y = x<sup>2</sup> + 1, y = 2 - x<sup>2</sup>, y = 4 - x<sup>2</sup>, z = x<sup>2</sup> + y<sup>2</sup> + 1, andz = x<sup>2</sup> + y<sup>2</sup> + 4. A)    B)  1 C)    D)  2 E)  none of the above
B) 1
C) Evaluate   , where R is the region in the first octant of 3-space bounded by the surfaces y = x<sup>2</sup>, y = x<sup>2</sup> + 1, y = 2 - x<sup>2</sup>, y = 4 - x<sup>2</sup>, z = x<sup>2</sup> + y<sup>2</sup> + 1, andz = x<sup>2</sup> + y<sup>2</sup> + 4. A)    B)  1 C)    D)  2 E)  none of the above
D) 2
E) none of the above

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