Mathematics: Amodel for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5: 00 am. what is the total basal metabolism of this man over a 24 hour period? r(t)=80-0.18cos πt/1224∫ r(t) dt=

Jill weighs about 20 pounds more than Jaxon. Step-by-step explanation:...

Amodel for the basal metabolism rate, in kcal/h,

49Janett

16.01.2022

1920 k calories is the basal metabolism.

Step-by-step explanation:

Formula to get the total basal metabolism has been given by the formula

R(t) = $80-0.18cos\frac{\pi t}{12}$

Where t = time

Now to calculate the total basal metabolism we will integrate the function with respect to time from 0 to 24 hours.

$\int_{0}^{24}R(t)=\int_{0}^{24}(80-0.18cos\frac{\pi t}{12})dt$

= $[80t-{0.18}\times \frac{sin\frac{\pi t}{12}}{\frac{\pi}{12}}]_{0}^{24}$

= $[(80-0)24-\frac{0.18\times 12}{\pi}(sin2\pi - sin0)]$

= [(80-0)24-(sin2\pi - sin0)]

= 80×24

= 1920 k calories

Therefore, 1920 k calories is the total basal metabolism of the young man.

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