Solve the problem.If m varies directly as p, and m = 36 when p = 9, find m when p is 3.

A. 16
B. 12
C. 9
D. 81


Answer: B

Mathematics

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Find the surface area of the surface S.S is the intersection of the plane 3x + 4y + 12z = 7 and the cylinder with sides y = 4x2 and y = 8 - 4x2.

A.
B.
C.
D.

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Compute the gradient of the function at the given point.  

A. -2i + 6j B. 6i - 30j C. 6i + 30j D. -3i + 5j

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Use l'Hpital's rule to find the limit.

A. 0
B.
C.
D. 1

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Solve the problem.Evaluate  at (x, y, z) = (5, 2, 2) for the function u(p, q, r) = p2 - q2 - r; p = xy, q = y2, r = xz.

A. 18 B. 38 C. 42 D. 22

Mathematics