Chapter 2.4, Problem 37E

(a)

To determine

To graph: The function $f(t)=4.96+.48t+.17t^2-.0048t^3$ in the window $[0,20]$ by $[-12,50]$ where $t$ is the number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.

(b)

To determine

The approximate rat weigh after $7$ days by using function $f(t)=4.96+.48t+.17t^2-.0048t^3$ where $t$ is number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.

(c)

To determine

When did the rat’s weight reach $27$ grams by using function $f(t)=4.96+.48t+.17t^2-.0048t^3$ where $t$ is number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.

(d)

To determine

How fast was the rat gaining weight after $4$ days by using function $f(t)=4.96+.48t+.17t^2-.0048t^3$ where $t$ is number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.

(e)

To determine

When was the rat gaining weight at the rate of $2$ grams per day by using function $f(t)=4.96+.48t+.17t^2-.0048t^3$ where $t$ is number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.

(f)

To determine

When was the rat gaining weight at the fastest rate by using function $f(t)=4.96+.48t+.17t^2-.0048t^3$, where $t$ is the number of days and $f(t)$ is the body weight of a baby rat in the control group in grams.