Evaluate the surface integral of the function G over the surface S.G(x, y, z) = ; S is the surface of the parabolic cylinder 28y2 + 7z = 14 bounded by the planes  x = 1, y = 0, and z = 0

A.
B.
C.
D.


Answer: A

Mathematics

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A.
B.
C.
D.

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Find the gradient ?f.f(x, y, z) = xyz ln (x + y)

A. yz ln (x + y)i + xz ln (x + y)j +  k
B.  i +  j +  k
C.  i +  j + xy ln (x +y)k
D.  i +  j + z ln (x + y)k

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Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -x2 - 3 B. y = -(x - 3)2 C. y = -x2 + 3 D. y = -(x + 3)2

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Solve the equation.2(y - 8) = 4y - 16

A. -16 B. -32 C. 0 D. 16

Mathematics