Find the domain of the given function.f(x) = 
A. all real numbers x where x > -7
B. all real numbers x where x ? -7
C. all real numbers x where x ? 7
D. all real numbers x where x > 
Answer: C
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Solve the problem.Find the sum of the series 
by expressing 
as a geometric series, differentiating both sides of the resulting equation with respect to x, multiplying both sides by x, differentiating again, and replacing x by 
.
A. 
B. 
C. 
D. 
Solve the problem.How many different ways can a president, vice-president, and secretary be chosen from a club with 12 members?
A. 6 B. 36 C. 1320 D. 220
Solve the problem.Suppose that $1800 is invested at 8% interest, compounded semiannually. Find the function for the amount of money after t years.
A. A(t) = 1800(1.04)t B. A(t) = 1800(1.08)2t C. A(t) = 1800(1.08)t D. A(t) = 1800(1.04)2t
Solve the problem.A cylinder with height 12 m and radius 2 m is filled with water and must be emptied through an outlet pipe 3 m above the top of the cylinder. Compute the work required to empty the water in the top half of the tank. Then compute the work required to empty the (equal amount of) water in the lower half of the tank. Round to two decimal places when appropriate.
A. 13,300,246.6 J; 8,866,831.1 J B. 4,433,415.55 J; 4,433,415.55 J C. 4,433,415.55 J; 8,866,831.1 J D. 8,866,831.1 J; 4,433,415.55 J