Solve the problem.Find the volume of the figure.

A. p4 + 7p3 + 12
B. p3 + 7p2 + 12p
C. p4 + 7p3 + 12p
D. p4 + 7p3 + 12p2


Answer: D

Mathematics

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Find the requested composition of functions.Given f(x) = -5x + 9 and g(x) = 3x + 2, find (g ? f)(x).

A. -15x - 25 B. 15x + 29 C. -15x + 29 D. -15x + 19

Mathematics

For the pair of functions, find the quotient (x) and give any x-values that are not in the domain of the quotient function.f(x) = 7x2 - 44x - 35, g(x) = x - 7

A. 7x + 5; x ? -7 B. 7x - 5; x ? 7 C. 7x + 5; x ? 7 D. 7x - 5; x ? -7

Mathematics

In calm waters oil spilling from the ruptured hull of a grounded tanker spreads in all directions. If the area polluted is a circle and its radius is increasing at a rate of 5 ft/sec, determine how fast the area is increasing when the radius of the circle is 40 ft. ? 

A. 200 ft2/sec B. 200 ft2/sec C. 400? ft2/sec D. 400 ft2/sec

Mathematics

Provide the proper response.At the current production level the marginal cost of a company is zero; there is a positive marginal profit at a slightly lower production level; and there is a negative marginal profit at a slightly higher production level. Should the production level be adjusted, and if so, in what direction?

A. It should be increased. B. It should not be adjusted. C. It should be decreased.

Mathematics