The thermic effect of food (TEF) is the increase in metabolic rate after a meal. To model TEF which is measured in kJ/h, researchers use the following functions: S (t) = 175.9te 9 (t) = 113.6te where f (t) is the TEF for a lean person and g (t) is the TEF for an obese person respectively and t, is the time in hours. Find the marimum value of the TEF for both individuals. Solve the above, by answering the following questions: (a) Examine both functions above and then rewrite the TEF as a single general function h (t) by replacing the numerical constants in s (t) and g (t) with the symbolic constants a and b. (b) Calculate the derivative h' (t). (c) Find the intervals of increase or decrease of h (t). (d) Using your answer found in part (c) above, find the maximum TEF for a lean person and the maximum TEF for an obese person respectively by substituting the appropriate values for a and b. (e) Calculate the derivative h" (t). (f) Using your answer found in part (e) above, find the inflection point for the graph of f (t) (for a lean person) and for the graph of g (t) (for an obese person) respectively and interpret in your own words the physical meaning of this term.

Q: one standart?

A: here use Empirical rule

Q: Could you also help me with part e

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Q: what are parts d and e?

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Q: can you do parts d,e,f aswell please

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