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 me

Question

sattari [20]

2 years ago

12

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 me

asured from 5:00 AM. What is the total basal metabolism of this man, 24 R(t) dt, 0 over a 24-hour time period?

Mathematics

1 answer:

11111nata11111 [884] · Answer 1 · 2022-08-06T03:43:12+03:00

11111nata11111 [884]2 years ago

5 0

Answer:

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