A 25-foot ladder is leaning against a house (see figure). If the base of the ladder is
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A 25-foot ladder is leaning against a house (see figure). If the base of the ladder is pulled away from the house at a rate of 2 feet per second, then the top will move down the wall at a rate of
where x is the distance between the base of the ladder and the house, and r is the rate in feet per second.
(a) Find the rate r when x is 7 feet.
(b) Find the rate r when x is 15 feet.
(c) Find the limit of r as x approaches 25 from the left.
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Step by Step Answer:
a To find the rate when x 7 feet we plug in x 7 into the formula r 225 x...View the full answer
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