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6. [12 points) Two carts, Cart A and Cart 3.. are connected by a rope 39 feet long that passes over a pulley P. The

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6. [12 points) Two carts, Cart A and Cart 3.. are connected by a rope 39 feet long that passes over a pulley P. The point Q is on the oor 12 feet directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 4 feet per second. At what rate is the distance between Cart B and the point Q changing at the instance when Cart A is 3.5 feet from the point

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