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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Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.
Find cot ?.
A. 
B. 
C. 
D. 
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Use a calculator to find the function value to four decimal places.csc (4.98)
A. -1.0369 B. 0.2644 C. 3.7817 D. -0.9644
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At one high school, students can run the 100-yard dash in an average of 15.2 seconds with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Find the percent of times that are:Greater than 13.4 seconds
A. 2.5% B. 84% C. 97.5% D. 98%
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Sketch the graph of the polynomial function.P(x) = -3x(x + 2)2
A. 
B. 
C. 
D. 
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