A rectangle’s width w, height h, and area A are all functions of time t. At the instant when the rectangle’s area is 20 square inches and the width is 4 inches, the height is decreasing at a rate of 3 inches per second while the area is increasing at a rate of 7 square inches per second. Determine the rate of change of the width of the rectangle at that instant.

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02-12-2022
Mathematics

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A rectangle’s width w, height h, and area A are all functions of time t. At the instant when the rectangle’s area is 20 square inches and the width is 4 inches, the height is decreasing at a rate of 3 inches per second while the area is increasing at a rate of 7 square inches per second. Determine the rate of change of the width of the rectangle at that instant.

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