Consider the growth of a population p(t). it starts out with p(0) = a. suppose the growth is unchecked, and hence p' = k p for some constant k. then p(t) = ae^(kt) of course populations don't grow forever. let's say there is a stable population size q that p(t) approaches as time passes. thus the speed at which the population is growing will approach zero as the population size approaches q. one way to model this is via the differential equation p' = kp(q-p), p(0) = a. the solution of this initial value problem is p(t) =

mia khalifa

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

ask the math teacher she or he would know lol.

step-by-step explanation: