Suppose you turn off the engine of your car when the temperature of the engine reaches 188 F. If the outside temperature is a constant 63 .F, then the temperature T of the engine t minutes after you turn off the engine satisfies the equation below. In T - 63 = -0.07t 125 (a) Solve the equation for T. T = (b) Find the temperature of the engine 24 minutes after you turn it off. Give your answer to the nearest tenth of a degree. OF (c) Find T '(t) = (d) Find the rate at which the temperature of the engine is changing 24 minutes after you turn it off. Give your answer to the nearest tenth of a degree. OF per minute