Solve the problem.Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 50 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden?
A. width = 
? 7, length = 14
B. width = 
? 9, length = 13.5
C. width = 
? 14, length = 18
D. width = 
? 14, length = 7
Answer: D
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Evaluate the improper integral or state that it is divergent. 
A. 9 ln 
B. 
?
C. 
2
D. 
?
Solve the problem.The roof of a building is in the shape of the hyperbola 
where x and y are in meters. Refer to the figure and determine the height h of the outside walls.
a = b = 4 m
A. 9.1 m B. 83 m C. 63 m D. 67 m
Solve the problem.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 4 seconds, the gauge on the bottle indicates that it contains 11 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 25 ounces of water. Let f(x) be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear function that models the amount of water in the bottle in terms of x.
A. f(x) = -2x + 19
B. f(x) = 
x + 9
C. f(x) = 2x + 3
D. f(x) = 2x + 14
Find the coordinates of the point C shown below.
?
?
?
A. (-2, 3) B. (3, -2) C. (-4, -5) D. (-5, -4) E. (-5, -2)