Question

The rate of growth of mice is inversely proportional to the square of the population:__________

Answer 1

Answer:

The value is  $y'(t) = \frac{k}{\sqrt{y(t)} }$

Step-by-step explanation:

From the question we told that are

      The rate of growth of mice is inversely proportional to the square of the population

   This above statement can be mathematically represented as

        $\frac{d y }{dt} \ \ \ \alpha \ \ \frac{1}{\sqrt{y(t)} }$

Here  $y(t)$ is the population

=>     $\frac{d y }{dt} = \frac{k}{\sqrt{y(t)} }$

=>     $y'(t) = \frac{k}{\sqrt{y(t)} }$