Question: Please attach the solutions to this question. Thank you in advance A heated metal ball is dropped into a liquid. As the ball cools, its

Please attach the solutions to this question. Thank you in advance

A heated metal ball is dropped into a liquid. As the ball cools, its temperature, I C, t minutes after it enters the liquid, is given by T = 400e-0.05t + 25, t 2 0. (a) Find the temperature of the ball as it enters the liquid. (b) Find the value of t for which T= 300, giving your answer to 3 significant figures. (c) Find the rate at which the temperature of the ball is decreasing at the instant when t = 50. Give your answer in C per minute to 3 significant figures. (d) Interpret the value of the constant term + 25 in the context of the situation

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