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
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A salesman earns a base salary plus a percentage of sales. The following table shows the income I, in dollars, of a salesman who has sales of d dollars. Round your answers to two decimal places, if necessary. ? d $2500 $3091 $3682 $4273 I $1515.36 $1562.64 $1609.92 $1657.2? A: Complete a table of changes to show that the data are linear.B: Find a linear model for the data.C: Explain in practical terms the meaning of the linear function in part B. Your answer should be stated in terms of base salary plus percentage of sales.
What will be an ideal response?
Solve the problem.Use a Taylor series to estimate the integral's value to within an error of magnitude less than 10-3.
A. 1.255 B. 0.8541 C. 0.8480 D. 0.4599
Simplify the expression.
A. 
B. 
C. 
D. 
Find the amount paid by each insurance company. Assume that any coinsurance requirement is met.Insurance loss: $15,000Company A coverage: $90,000Company B coverage: $10,000
A. A pays: $7,500 B pays: $7,500 B. A pays: $13,500 B pays: $1,500 C. A pays: $15,000 B pays: $0 D. A pays: $11,250 B pays: $3,750