Chapter 3.5, Problem 37P

To determine

(a)

To find derivative of the below function which represents the percent of moon illuminated where $t$ is the number of days.

$H\left(t\right)=50+50\cos \left(\frac{\pi }{15}t\right)$

To determine

(b)

To find when $H^{\prime }\left(0\right)$ for $0\le t\le 30$, given the below function which represents the percent of moon illuminated where $t$ is the number of days.

$H\left(t\right)=50+50\cos \left(\frac{\pi }{15}t\right)$

To determine

(c)

To find when $H^{\prime }\left(0\right)$ for $0\le t\le 30$, given below function which represents the percent of moon illuminated where $t$ is the number of days.

$H\left(t\right)=50+50\cos \left(\frac{\pi }{15}t\right)$