1. With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total public expenditures for health care H can be modeled by

H = 1,500e^0.053t

where t is the number of years past 2000 and H is in billions of dollars. If this model is accurate, at what rate (in billions of dollars per year) will health care expenditures change in 2020? (Round your answer to one decimal place.) $( )billion/year

2. Medical research has shown that between heartbeats, the pressure in the aorta of a normal adult is a function of time in seconds and can be modeled by the equation

P = 95e^0.491t.

(a) Use the derivative to find the rate at which the pressure is changing at any time t.

P'(t) =

(b) Use the derivative to find the rate at which the pressure is changing after 0.5 second. (Round your answer to one decimal place.) ( )