2. A steel ball is placed at time t = 0 in a medium which is maintained at a temperature of 30°C. Heat flows so rapidly within the ball that the temperature is essentially the same at all points of the ball. At the end of 3 minutes, the temperature of the ball is reduced to 70°C. After 15 minutes, the temperature of the ball becomes 42°C. Find the initial temperature of the steel ball.

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