Find the volume of the solid capped by the surface z = f(x, y) over the region with the given boundaries on the xy-plane.z = 6x2y; 0 ? x ? 4, 0 ? y ? 3

A. 676
B. 2256
C. 1256
D. 576


Answer: D

Mathematics

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Use power series operations to find the Taylor series at x = 0 for the given function.x4 ln(1 + 4x)

A.
B.
C.
D.

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Given f(x) and g(x), find the indicated composition and evaluate.f(x) = -4x - 8; g(x) = -2x2 + 2x + 6Find (f ? g)(-3).

A. -18 B. 64 C. -32 D. 6

Mathematics

Find the inverse of the function.f(x) = -7x

A. f-1(x) = - 
B. f-1(x) = - 
C. f-1(x) = 7 + x
D. f-1(x) = 7x

Mathematics

Use the graphs to evaluate the expression.f(4) - g(-3)y = f(x)y = g(x) 

A. 8
B. 2
C.
D. -2

Mathematics