Solve the problem.A rectangular piece of cardboard measuring 27 inches by 31 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. What is the maximum volume of this box? If necessary, round to 2 decimal places.
A. 1787.33 in.3
B. 58.07 in.3
C. 834.84 in.3
D. 24,562.79 in.3
Answer: A
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Solve the differential equation.y' - y = -xy2
A. x - 1 + C
B. 
C. 
D. x + 1 + C
Solve the problem.A wire of length 8x is bent into the shape of a square. Express the area A of the square as a function of x.
A. A(x) = 2x2
B. A(x) = 8x2
C. A(x) = 4x2
D. A(x) = 
x2
Solve the problem.Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
A. width = 
? 5.6, length = 11.2
B. width = 
? 11.2, length = 14.4
C. width = 
? 11.2, length = 5.6
D. width = 
? 7.2, length = 10.8
Simplify by combining like terms.-12y - 7x - 5x
A. -12y - 12x B. -12y + 2x C. -24xy D. -12y - 2x