Problem

Business: Temperature The temperature in an industrial pasteurization tank is f(x) = x...

Business: Temperature The temperature in an industrial pasteurization tank is f(x) = x² - 8x+110 degrees centigrade after x minutes (for 0 ≤ x ≤ 12).

a. Find by using the definition of the derivative.

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.

c. Use your answer to part (a) to find the instantaneous rate of change after 5 minutes.

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Solutions For Problems in Chapter 2.2

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