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The temperature in an industrial pasteurization tank is f(x) = x2 - 9x + 119...

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The temperature in an industrial pasteurization tank is f(x) = x2 - 9x + 119 degrees centigrade after x minutes (for 0 ? x ? 13).(a) Find f'(x) by using the definition of the derivative.f'(x) =(b) Use your answer to part (a) to find the instantaneous rate of change of the temperature after 2 minutes. Be sure to interpret the sign of your answer.The temperature is ---Select--- at a rate ofdegrees per minute after 2 minutes.(c) Use your answer to part (a) to find the instantaneous rate of change after 6 minutes.The temperature is ---Select--- at a rate ofdegrees per minute after 6 minutes.

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