Solve the problem.Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 200 cubic inches, find the original dimensions of the sheet of cardboard.

A. 10 in. by 10 in.
B. in. by 2 in.
C. 10 in. by 10 in.
D. 14 in. by 14 in.

Answer: D

Mathematics

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For what values of does the curve have maximum and minimum points for the given function ?

Select the correct answer.
a. For a parabola whose vertex (0, 2), is the absolute maximum.
For opens downward with one minimum points.
For c < 0, the graph opens upward, and has an absolute maximum at x=0 and no local minimum.

b. For a parabola whose vertex (0, 2) is the absolute maximum.
For opens upward with two minimum points.
For c < 0, the graph opens downward, and has an absolute minimum at x=0 and no local minimum.

c. For a parabola whose vertex (0, 3), is the absolute maximum.
For opens upward with two minimum points.
For c<0, the graph opens downward, and has an absolute minimum at x=0 and no local minimum.

d. For a parabola whose vertex (0, 1), is the absolute maximum.
For opens upward with two minimum points.
For c<0, the graph opens downward, and has an absolute maximum at x=0 and no local minimum.