Question: Cholesterol Regulation. During his annual medical checkup, a man is advised by his doctor to adopt a regimen of exercise, diet and medication to lower his blood cholesterol level to 220 milligrams per deciliter. Suppose the man finds that his cholesterol level t days after beginning the regimen is

1. What is the man's cholesterol level when he begins the regimen?
2. How many days N must the man remain on the regimen to lower his cholesterol level to 220 mg/dl?
3. What was the man's average cholesterol during the first 30 days of the regime? What was the average level over the entire period \(0\le t\le N\) of the regime?

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