Chapter 3, Problem 90RE

(a)

To determine

The value of $P\left(0\right)$ and interpret its meaning in the context of the population of bass that is given by the function $P\left(t\right)=\frac{3000}{1+2e^{-0.37t}}$ .

(b)

To determine

The bass population after $2$ years of stocking, if the population of bass is given by the function $P\left(t\right)=\frac{3000}{1+2e^{-0.37t}}$ .

(c)

To determine

The bass population after $4$ years of stocking if the population of bass is given by the function $P\left(t\right)=\frac{3000}{1+2e^{-0.37t}}$ .

(d)

To determine

The number of years needed for the bass population to reach to $2800$ using the function for the population of bass $P\left(t\right)=\frac{3000}{1+2e^{-0.37t}}$ .

(e)

To determine

The value of the term $\frac{2}{e^{0.37t}}$ when $t\to \infty$ .

(f)

To determine

The limiting value of $P\left(t\right)$ for the population function of the bass, $P\left(t\right)=\frac{3000}{1+2e^{-0.37t}}$ .