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Suppose a 5-foot broom initially rests against a wall. However, the bottom of the broom begins to slide out from the wall along the floor,

Suppose a 5-foot broom initially rests against a wall. However, the bottom of the broom begins to slide out from the wall along the floor, causing the top of the broom to slide down the wall. Suppose that is the angle formed by the wall and the top of the broom as it slides down the wall. Let x be the distance from the bottom of the broom to the wall along the floor. How is x changing with respect to at the moment that

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