Consider the growth of a population p(t). It starts out with p(0)=A. Suppose the growth is unchecked, and hence p′=kp for some constant k. a) Find p(t) b) If p′=kp(Q−p), p(0)=A, find p(t)

The logistic growth function f(t)= describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain? 720 1+8e-0.141 OA. 8 butterflies OB. 720 butterflies OC. 80 butterflies OD. 1440 butterflies

Find the linearization L(x) of the function at a. f(x) = x2/3, a = 64 %3! L(x) =