Mathematics

Mathematics

Problem

36. Weight Loss Courtney tried several different diets over a two-year period in an attempt to lose weight. She found that her weight WW followed a fluctuating curve that could be modeled by the function W=220−1.5t+9.81sin⁡(πt/4)W=220-1.5 t+9.81 \sin (\pi t / 4), where tt was measured in months after January 1 of the first year and WW was measured in pounds. (a) What was Courtney's weight at the start and at the end of two years? (b) What was her maximum weight during the two-year period? (c) What was her minimum weight during the two-year period?

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