Rectangle in Parabola Problem: A rectangle is inscribed in the region bounded by the

Chapter 8, Problem 23

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Rectangle in Parabola Problem: A rectangle is inscribed in the region bounded by the x-axis and the parabola y = 9 x2 (Figure 8-3v). a. Find the length and width of the rectangle of greatest area. Justify your answer. b. Find the length and width of the rectangle of greatest perimeter. Justify your answer. c. Does the rectangle of greatest area have the greatest perimeter?

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