Answer:
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) = [tex]80-0.18cos\frac{\pi t}{12}[/tex]
Where t = time
Now to calculate the total basal metabolism we will integrate the function with respect to time from 0 to 24 hours.
[tex]\int_{0}^{24}R(t)=\int_{0}^{24}(80-0.18cos\frac{\pi t}{12})dt[/tex]
= [tex][80t-{0.18}\times \frac{sin\frac{\pi t}{12}}{\frac{\pi}{12}}]_{0}^{24}[/tex]
= [tex][(80-0)24-\frac{0.18\times 12}{\pi}(sin2\pi - sin0)][/tex]
= [(80-0)24-(sin2\pi - sin0)]
= 80×24
= 1920 k calories
Therefore, 1920 k calories is the total basal metabolism of the young man.
