Question

Runners and other athletes know that their ability to absorb water when exercising varies over time as their electrolyte levels change. Under certain circumstances, the absorption rate of water through the gastrointestinal tract will be

f(t) = 2te^−t/2

liters per hour, where t is the number of hours of exercise.† Find the number of liters of water absorbed during the first 4 hours of exercise. (Round your answer to one decimal place.)
L

Answer 1

2te t/ Absorption rate of water is given f(t) Now, let Wit) is the absorbed WLt) = f f (t) dt Now, Absorbed during the 1st 4 hours of epercise Wlt) Jdt Water .. 19 - 2 Sate the de the-thadt - Sat Seth je bilo S-eetje 14 -t/2 -20 ته 2- د = 2 -t/274 .t/2 + - 4 2[26 21-2) e = Eyecta pents] -12 [e-t12] = -12 [2 ? - e-] -12 [e-2 12 (1-0-2) No. of wers of water absorbed during the 1st 4 hours of abercise is 10.4 litres ł 10.4