1. A sheet of paper for a poster contains 18 square feet. The margins at the top and bottom are 9 inches and at the side 6 inches. What are the dimensions if the printed area is a maximum?

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  2. Find the coordinates of the point on the curve y = x2 that is closes to the point (2,1/2).

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  3. Divide 120 into two parts such that the product P of one part and the square of the other is a maximum.

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  4. A rectangle is to be inscribed in a right triangle having sides of length 6 inches and 10 inches. Find the dimensions of the rectangle with the greatest area assuming the rectangle uses part of the height and part of the base of the triangle as two of its sides.

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