Chapter 5.3, Problem 110AYU

(a)

To determine

The size of the initial population of the species, where in a protected environment, the population $P$ of a certain endangered species recovers over time $t$ in years is $P(t)=30\cdot {1.149}^t$.

(b)

To determine

The population of the species in $5$ years, where in a protected environment, the population $P$ of a certain endangered species recovers over time $t$ in years is $P(t)=30\cdot {1.149}^t$

(c)

To determine

The population of the species in $10$ years, where in a protected environment, the population $P$ of a certain endangered species recovers over time $t$ in years is $P(t)=30\cdot {1.149}^t$.

(d)

To determine

The population of the species in $15$ years, where in a protected environment, the population $P$ of a certain endangered species recovers over time $t$ in years is $P(t)=30\cdot {1.149}^t$

(e)

To determine

The effect on size of population after every $5$ years, where in a protected environment, the population $P$ of a certain endangered species recovers over time $t$ in years is $P(t)=30\cdot {1.149}^t$.