A model for the basal metabolism rate, in kcal/h, of a young man is R (t) = 95 - 0.18 cos (πt/12), where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man, 24 R (t) dt, 0 over a 24-hour time period?

Question

Allie Michael

Mathematics

16 September, 11:16

A model for the basal metabolism rate, in kcal/h, of a young man is R (t) = 95 - 0.18 cos (πt/12), where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man, 24 R (t) dt, 0 over a 24-hour time period?

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Timothy Daniel · Answer 1

2280 kcal

Step-by-step explanation:

The given function R (t) is periodic with a period of 24 hours, so the integral is the product of the average value (95 kcal/h) and the 24-hour interval:

(95 kcal/h) (24 h) = 2280 kcal