Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a 
sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by V(x) = 144x - 48x2 + 4x3. By sketching the graph of V(x), estimate what values of x result in a box with a volume greater than 64 in3.
A. 0.1 in. ? x ? 5.0 in.
B. 1.0 in. ? x ? 3.0 in.
C. 1.5 in. ? x ? 2.5 in.
D. 0.54 in. ? x ? 4 in.
Answer: D
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Find the slope of a line tangent to the given curve at the point P by finding the limit of the slopes of the secant lines PQ as Q approaches P.y = 7x - 7x2; P is (5, -140); let Q have x-values of 4.5, 4.9, 4.99, 4.999
A. Slopes: -31.5, -34.3, -34.93, -34.993 m = -35 B. Slopes: -31.5, -34.3, -34.93, -34.993 m = -28 C. Slopes: -59.5, -62.3, -62.93, -62.993 m = -63 D. Slopes: -66.5, -69.3, -69.93, -69.993 m = -70
Solve.A perfect number is a natural number that is equal to the sum of its factors, excluding the number itself. Determine whether or not the number 496 is perfect.
A. No B. Yes
Solve.From a 15-inch by 15-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume.
A. 2.5 inches B. 3.1 inches C. 2.8 inches D. 2.3 inches
Translate to a proportion. Do not solve.32 is what percent of 98?
A. 
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B. 
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C. 
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D. 
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