If a population adds $20$ new individuals per year and the total population after $2$ years is $75$,what was the initial population size?

In nature, a given habitat has enough resources to support a maximum possible number, beyond which no further growth is possible. This characteristic feature of nature is known as

Give scientific reasons: When a plant culture is grown in a limited amount of nutrient medium,growth is slow in the initial stage (lag phase). It increases rapidly in the exponential phase and again slows down in the stationary phase.

The magnitude of $r$-value (intrinsic rate of natural increase) for the Norway rat is:

Select the correct sequence of phases in the bacterial growth curve.

Consider a population of $10$ million cells. Given the per-capita birth rate of $0.002$ (per unit time) and the per-capita death rate of $0.002$ (per unit time), the expected number of cells after $10$ generations is