Answers should be given in exact form. Justify each answer by providing

supporting details utilizing calculus methods. Answers with incorrect or incomplete justification may not receive full credit.

2. The average daily metabolic rate for captive animals such as elk can be

modeled as a function of mass by r = 140.2m0.75, where m is the mass

of the animal (in kilograms) and r is the metabolic rate (in kilocalories

per day). Determine the rate of change of metabolic rate with respect to

time for a 250 kilogram elk that is gaining mass at the rate of 2 kilograms

per day.