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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Use the rules for exponents to rewrite the expression and then evaluate the new expression. 
A. -14 B. -5 C. 0 D. 1
Mathematics
Find the sum of the series.
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Mathematics
Solve.A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding the bicycle was 10 miles per hour faster than his rate walking, what was each rate?
A. Bike: 11.5 mph Hike: 1.5 mph B. Bike: 12 mph Hike: 2 mph C. Bike: 13 mph Hike: 3 mph D. Bike: 14.5 mph Hike: 4.5 mph
Mathematics
Solve the problem.Find the gross earnings.Units ProducedMonday:77Tuesday:87Wednesday:103Thursday:102Friday:125Rate per unit: $0.62
A. $228.78 B. $306.28 C. $305.66 D. $306.90
Mathematics