Solve the problem.A rectangular piece of cardboard measuring 17 inches by 30 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
A. 14.7 in.
B. 24.35 in.
C. 12.18 in.
D. 3.49 in.
Answer: D
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Simplify.
A. 
B. 
C. 
D. 3
Find (f ?g)(x) for the given functions f(x) and g(x).f(x) = 7x + 5 and g(x) = x2 - 2
A. 49x2 + 14x - 5 B. 7x2 - 9 C. x2 + 7x + 3 D. x2 - 7x - 7
Solve the problem.Sketch a graph that depicts the amount of water in a 50-gallon tank. The tank is initially full, and then a pump is used to take water out of the tank at a rate of 4 gallons per minute. The pump is turned off after 5 minutes. At that point, the pump is changed to one that will pump water into the tank. The change takes 2 minutes and the water level is unchanged during the switch. Then, water is pumped into the tank at a rate of 2 gallons per minute for 3 minutes.
A. 
B. 
C. 
D. 
Find the limit L for the given function f, the point c, and the positive number ?. Then find a number ? > 0 such that, for all x, 
f(x) = 
, c = 1, ? = 0.2
A. L = 3; ? = 0.14 B. L = 3; ? = 0.71 C. L = 3; ? = 0.06 D. L = 3; ? = 0.07