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Read the following passage and answer th...

Read the following passage and answer the questions given below.

The temperature of a person during an intestinal illness is given by `f(x) = -0.1x^(2) + mx + 98.60 ,le x le 12,`m being a constant, where f(x) is the temperature in `""^(@)F` at x days.
Find the points of local maximum/local minimum, if any, in the interval (0, 12) as well as the points of absolute maximum/absolute minimum in the interval [0, 12]. Also, find the corresponding local maximum/local minimum and the absolute maximum/absolute minimum values of the function.

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