Consider the ODE $\frac{dP}{dt}=P({10}^{-3}-{10}^{-7}P).$

Q$4\mathrm{.}1$ Carrying Capacity

$1$ Point

What is the carrying capacity $K?($Hint: Use algebra to rewrite the ODE into the form Eqn $1\mathrm{.}10,$ page $9$ in the textbook.$)$

${10}^3$

${10}^4$

${10}^7$

$$

Q$4\mathrm{.}2$ Intrinsic Growth Rate

$1$ Point

What is the intrinsic growth rate $r?($Hint: Use algebra to rewrite the ODE into the form Eqn $1\mathrm{.}10,$ page $9$ in the textbook.$)$

${10}^{-3}$

${10}^{-4}$

${10}^{-7}$