For the Verhulst-Pearl Logistic Growth equation $dN/dt = rN \left(\frac{K-N}{K}\right)$,what does $K$ indicate?

If $N$ is the population density at time $t$,then its density at time $t+1$ can be calculated as . . . . . . .

Human population after the $17$th century $A.D.$ is thought to be in which phase?

Phase of accelerated growth of logistic growth curve is . . . . . . .

"In the absence of environmental resistance, the population grows in a geometrical ratio when the food is given in an arithmetical ratio." This is:

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.