- 0 01tp2 3 10 A Consider The Growth Of A Population Of Cells In A Declining Medium If The Population Growth Depends 1 (71.04 KiB) Viewed 29 times
this is all one problem
-0.01tp2/3, 10. a. Consider the growth of a population of cells in a declining medium. If the population growth depends on the absorption of the medium through the cell surface and the medium is decaying exponentially, then a differential equation for this population is given by dP 0.3e P(0) = 1000, dt where the initial population is 1000 and t is in hours. Solve this differential equation. b. Find how long it takes for this population to double. What happens to this population for very large time (i.e., find any horizontal asymptotes)? Sketch a graph for this population.