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A 25 foot ladder is leaning against a house as shown in the figure below...

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Calculus

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A 25 foot ladder is leaning against a house as shown in the figure below 2x 625 x 25 ft When the base of the ladder is pulled away from the house at a rate of 2 feet per second the top will move down the wall at a rate given by the following equation where x is the distance between the base of the la and the house and r is the rate in feet per second 2 ft sec X ft sec a Find the rate r in ft sec when x is 7 feet 7 12 ft sec b Find the limit of r as x approaches 25 from the left 0

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