Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by the triangle with vertices (0, 0), (4, 0), (4, 2)

A. ?
B. 64?
C. ?
D. ?


Answer: D

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F = k ; S is the upper hemisphere of x2 + y2 + z2 = 25; direction is outward

A. - 10? B. - 10 C. 10 D. 10?

Mathematics

Solve the problem.You place a mirror on the ground 100 ft away from a flag pole. You then back up from the mirror until you see the top of the flag pole in the mirror. If the distance from your eyes to the ground is  and you are standing 12 ft from the mirror, how tall is the flag pole to the nearest foot?

A. 42 ft B. 20 ft C. 240 ft D. 8 ft

Mathematics

Solve the problem by integration.Find the area bounded by y = 2, x = 0, y = 0, and x = 3.

A.  tan-1
B. 2 sin-1
C. sin-1
D.  tan-1

Mathematics

Solve the problem.A parallelogram has a base of length 2x + 1 and a height of x + 3 and has an area of 42 square units. Find the base and height of the parallelogram. (A = bh)

A. height = 3 units; base = 14 units B. height = 14 units; base = 3 units C. height = 6 units; base = 7 units D. height = 7 units; base = 6 units

Mathematics