Solve the problem. Round your answer, if appropriate.The radius of a right circular cylinder is increasing at the rate of , while the height is decreasing at the rate of . At what rate is the volume of the cylinder changing when the radius is 6 in. and the height is 13 in.?

A. -102 in.3/sec
B. 612? in.3/sec
C. 144 in.3/sec
D. 144? in.3/sec


Answer: B

Mathematics

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Solve the exponential equation. Round to three decimal places when necessary.e-t = 0.06

A. 2.613 B. -2.813 C. 2.913 D. 2.813

Mathematics

Factor the expression by removing the greatest common factor.t4 + t6

A. 4(t + t2) B. t3(t + t3) C. t(4 + 6) D. t4(1 + t2)

Mathematics

What percentage of the figure is shaded? Round to the nearest tenth of a percent, when necessary.

A. 62.5% B. 37.5% C. 40% D. 33.3%

Mathematics

Solve the problem.Assume that the elevation E, in feet, of a sag in a proposed route is given by  where x represents the horizontal distance in feet along the proposed route and 0 ? x ? 5000. For what x-values is the elevation 1150 feet? Round your answer to the nearest foot.

A. x = 556 ft or x = 7510 ft B. x = 556 ft or x = 7500 ft C. x = 566 ft or x = 7510 ft D. x = 566 ft or x = 7500 ft

Mathematics