Question $7$: $14$ Marks

Assume that $P(t)$ follows logistic growth, with initial value $P_0=300,a=0\mathrm{.}3$ and $b=0\mathrm{.}092.$

$(7\mathrm{.}1)$ Find $P(1)$ and $P(10).$

$(7\mathrm{.}2)$ Determine the rate $of$ change $ofPat$ the times $t=0,t=1$ and $t=10d\frac{P}{d}t$