Chapter 4.1, Problem 68E

Heart rate. The rate of change in Trisha’s pulse (in beats per minute) t minutes after she stops exercising is given by

$R\text{'}\left(t\right)=-46.964e^{-0.796}$

$R\left(t\right)=59eh-0.796t+66$

a. Find $R\left(t\right)$, if Trisha’s pulse is 78 beats per minute 2 min after she stopped exercising.

b. Find Trisha’s pulse rate 4 min after she stops exercising.

c. Find the rate of change in Trisha’s pulse after 4 min.

d. How can $R\left(t\right)$ and $R\text{'}\left(t\right)$ be used to find Trisha’s resting pulse rate?