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Applied Max Min 20 points a Find the dimensions of the rectangle with the greatest...

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Calculus

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Applied Max Min 20 points a Find the dimensions of the rectangle with the greatest area that can be built so the base of the rectangle is on the x axis between 0 and 2 0 x 2 and one comer of the rectangle is on the curve y 2 What is the area of this rectangle Hint The base of the rectangle is 2 x Write the area function A X Find the derivative A x Set A x 0 and solve for x Using your answer above state the optimal area b Generalize the problem in part a for the curve y CV with C 0 and 0 x 2 Write the area function A X Find the derivative A X y 2 x Set ATX 0 and solve for x x 2

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