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The figure shows a 10-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find an equation relating x and y. (b) Suppose

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The figure shows a 10-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find an equation relating x and y. (b) Suppose that the foot of the ladder is being pulled along the ground at the rate of 2 feet per second. How fast is the top end of the ladder sliding down the wall at the time 10 when the foot of the ladder is 8 feet from the wall? That is, what is - at the time when - = 2 and x = 8? dx (a) The equation is dy (b) at =(Type an exact answer, using radicals as needed.) K

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