Solve the problem.The volume V (in cubic inches) of a cylindrical pipe with length 12 inches is given by V(r) = 12?r2, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = t2, t ? 0, find the volume V of the pipe as a function of the time t.

What will be an ideal response?


V(t) = ?t4

Mathematics

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Write an equivalent double integral with the order of integration reversed.

A.
B.
C.
D.

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Find the foci of the hyperbola.4y2 - 25x2 = 100

A. (0, ), (0, -)
B. (, 0), (-, 0)
C. (0, ), (0, -)
D. (, 0), (-, 0)

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Express the rational number as a terminating or repeating decimal number.

A. 0.8
B. 3.
C. 3.8
D. 3.8333

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Solve the problem.Find the maximum possible value of f = 6x + 7y subject to the following constraints: 

A. 24 B. 32 C. 13 D. 52

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