A.) An average young male in the United States gains weight at the rate of 18(x − 10)−1/2 pounds per year, where x is his age (11 ≤ x ≤ 20). † Find the total weight gain from age 14 to 19. B.) 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 7 hours of exercise. (Round your answer to one decimal place.)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.