1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/l per minutes given by f'(t) = -100e-0.25t where t is the number of minutes after the drug was injected. a) By how much did the concentration of the drug change 15 to 20 minutes after the drug was injected. (net change in the amount of drug in the bloodstream over that time interval) Make sure to give the integral needed to solve the question and your final answer with units. eul(2) b) What was the Average valve of the concentration of the drug in the bloodstream ove 15 to 30 minutes Give the integral needed to solve then you may use your calculator.

5. A new colony of bees can make honey a rate of e'/6 – 1 gallons per month. How much honey will they produce in the first year? Include units.

What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

Empirical evidence suggests that the volume V (measured in liters) of a kangaroo's pouch depends on its body weight W (measured in kilograms) according to the formula dV 0.2 dW A'reasonable model for the weight of a kangaroo depending on its height H (measured in m) is W 20 H? Suppose that over the course of 4 years, a kangaroo has grown at a constant rate from 1 m to 2 m. Determine the rate of change of the volume of its pouch with respect to time (measured in liters per year) when its height was 1.3 m. Note: You may round your answer. Please specify at least 3 digits behind the decimal place. So your solution should be accurate up to ±0.001. Answer: liters/year