Solve the problem.Find the dimensions of a box with largest volume if it lies in the first octant, three of its faces lie in the coordinate planes, and the box lies beneath (or touching) the plane with equation 
A. by
by
B. by
by
C. by
by
D. by
by
Answer: A
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Solve the problem.If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find the third integer.
A. 23 B. 21 C. 46 D. 25
Solve the problem.If the formula P = 0.5643Y - 1092.57 can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 43 dollars? (Y is the actual year.)
A. 2015 or after B. 2013 or after C. 2023 or after D. 2011 or after
An open rectangular box having a volume of 4in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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A. x = 1; y = 1; z = 2 B. x = 2; y = 2; z = 1 C. x = 2; y = 1; z = 1 D. x = 2; y = 1; z = 2
Find the common difference for the arithmetic sequence.794, 786, 778, 770, . . .
A. -794 B. -8 C. 794 D. 8