Solve the problem. Round your answer, if appropriate.After a new firm starts in business, it finds that its rate of profit (in hundreds of dollars) after t years of operation is given by 
Find the profit in year 7 of the operation.
A. $32,400
B. $40,350
C. $45,500
D. $15,900
Answer: D
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Evaluate the integral by using a substitution prior to integration by parts.
A. ln (6x + 6x2) + ln (x +1) + C B. ln (6x + 6x2) - 2x + C C. xln (6x + 6x2) + ln (x +1) - 2x + C D. xln (6x + 6x2) + C
Replace A with the proper expression such that the fractions are equivalent.
= 
A. 2x2 + 2x B. x2 + 4x + 4 C. x2 + 4 D. 2x2 + 4x
Solve the problem.A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 8 cm per second. Find a function, r(t), for the radius in terms of t. Find a function, V(r), for the volume of the balloon in terms of r. Find (V ? r)(t).
A. (V ? r)(t) = 
B. (V ? r)(t) = 
C. (V ? r)(t) = 
D. (V ? r)(t) = 
Express the product as a sum containing only sines or cosines.sin(9?) cos(5?)
A. 
[cos(14?) - cos(4?)]
B. sin cos(45?2)
C. 
[sin(14?) + cos(4?)]
D. 
[sin(14?) + sin(4?)]