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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