Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, 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 surface area S of the pipe as a function of the time t.

What will be an ideal response?


S(t) = ?t4 + 4?t2

Mathematics

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Some hot water, initially at C, is placed in a room with a temperature of C.  The temperature T of the water after t hours is given by 

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??

A. C
B. C
C. C
D. C
E. C

Mathematics

Find the volume of the geometric solid. If needed, use 3.14 as an approximation for ? and round the answer to the nearest tenth.Rectangular prism: l = 11 in., w = 15 in., h = 14 in.

A. V = 2310 in.3 B. V = 2475 in.3 C. V = 1694 in.3 D. V = 2940 in.3

Mathematics

Solve the problem.On a gambling trip to Las Vegas, Anthony doubled his bet each time he won. If his first winning bet was $3 and he won six consecutive bets, find how much he won on the sixth bet. Find the total amount he won on these six bets.

A. $96; $189 B. $48; $93 C. $192; $381 D. $192; $189

Mathematics

Graph the rational function.f(x) =  

A.

B.

C.

D.

Mathematics