A plane flying horizontally at an altitude of 1 mi and a speed of 300 mi/h passes directly over a radar station. Find the rate in mi/h at which the direct line distance from the plane to the radar station is increasing when it is 3 mi away from the station. a) What rate are you given? Express your answer in the form dx/dt or dy/dt  b) What rate are you trying to find? c) Write an equation relating x and y .  d) Use the chain rule to differentiate this equation and then solve for the unknown rate, leaving your answer in equation form. e) Substitute the given information into this equation and find the unknown rate. Express your answer in the form dx/dt or dy/dt = a number.

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