Exam 1 solutions (non-calculator portion)

A rectangle has two corners on the x axis and the

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Unformatted text preview: A rectangle has two corners on the x-axis and the other two corners on the parabola y = 12 – x2, with y ≥ 0. What are the dimensions of the rectangle of this type with maximum area? Here is a sketch of the parabola and one such rectangle. y (x, y) x I need a function that gives the area of such a rectangle: A = wh = (2x)y = (2x)(12 – x2) = 2(12x – x3) And now I need to maximize this function on the interval . The procedure, you will recall, is to evaluate A at the endpoints and at the critical point...
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This document was uploaded on 03/18/2014 for the course MATH 237 at Frostburg.

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