Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 8x + 4y + 7; R = {(x, y): 0 ? x ? 1, 1 ? y ? 3}

A. 28
B. 36
C. 26
D. 38


Answer: D

Mathematics

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Write as an exponential expression.5

A. (5x2y)3/5 B. (5x2y)5/3 C. (5x2y)15 D. (5xy)10/3

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Solve the problem.A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13 inches by 20 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.

A. V(x) = (13 - x)(20 - x) B. V(x) = (13 - 2x)(20 - 2x) C. V(x) = x(13 - 2x)(20 - 2x) D. V(x) = x(13 - x)(20 - x)

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Evaluate the polynomial for the given value of x.5 - 8x - 3x2, for x = 3

A. -50 B. -56 C. -28 D. -46

Mathematics