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Solutions to Examples from Related Rates Notes 1. A square metal plate is placed in a furnace. The quick temperature change causes the metal plate to expand so that its surface area increases and its thickness decreases. If the side length of the plate is increasing at 2 mm per second, find the rate the area of the plate is increasing when the side length is 100 mm. a. Assign symbols to all ...[...]

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high?[...]

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