Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.y = 4x, y = 8x, y = 4

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


Answer: C

Mathematics

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Evaluate the integral.

A. - ln + C
B. - ln + C
C. - ln + C
D.  ln + C

Mathematics

Sketch the surface z = f(x,y).f(x, y) = 1 - x - 2y

A.

B.

C.

D.

Mathematics

Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = 2x2 + 8x + 6

A. Increasing on (-2, ?); decreasing on (-?, -2) B. Increasing on (2, ?); decreasing on (-?, 2) C. Increasing on (-4, ?); decreasing on (-?, -4) D. Increasing on (8, ?); decreasing on (-?, 8)

Mathematics

Graph the polynomial function. f(x) = (x - 1)(x + 1)(x + 3)2

A.

B.

C.

D.

Mathematics