Evaluate the surface integral of G over the surface S.S is the cap cut from the sphere x2 + y2 + z2 = 16 by the cone z = 

A. 0
B. 8?
C. 4?
D. 16?


Answer: A

Mathematics

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If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.2

A. -9
B.  
C. 9 
D.  

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Use the graph to find the intervals on which it is increasing, decreasing, or constant.

A. Decreasing on (-3, -1) and (1, 4); increasing on (-2, 1) B. Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1) C. Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2, -1) and (1, 2) D. Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1); constant on (-2, -1) and (1, 2)

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Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.y = (x + 5)2 + 4

A. (-4, 5), up B. (-5, 4), up C. (4, -25), down D. (4, -5), down

Mathematics

Solve the problem.The radius, r, of a right circular cone can be found using the formula  where V is the volume and h is the height. If the volume is 782 cubic inches and the height is 12 inches, what is the radius? (Use 3.14 for ?, and round your answer to the nearest tenth of an inch.)

A. 4.0 in. B. 8.3 in. C. 7.9 in. D. 4.6 in.

Mathematics