Chapter 9.5, Problem 56E

(a)

To determine

To calculate: The function for the instantaneous rate of change of Alzheimer’s disease $A\left(t\right)$, if the baby boomer generation ages and the proportion of the U.S. population over 65 increases, the number of Americans with Alzheimer’s disease and other dementia is projected to grow each year.

(b)

To determine

To calculate: The instantaneous rate of change of the percent of the U.S population with Alzheimer’s disease in 2025 and estimate its interpretation also, if the baby boomer generation ages and the proportion of the U.S. population over 65 increases, the number of Americans with Alzheimer’s disease and other dementia is projected to grow each year. With data from the Social Security Alzheimer’s Association for selected years from 2000 and projected to 2050, the Alzheimer’s can be modeled by $A\left(t\right)=\frac{0.34t^2+1.3t+450}{-0.012t^2+3.3t+260}$ where t is the number of years past 1990.