Question

Homework: 1.3 Direction Fields Save Score: 0 of 1 pt 4 of 7 (0 complete) HW Score: 0%, 0 of 7 pts 1.3.7 Question Help Consider the differential equation pip - 1.25%p-3) for the population p (in thousands) of a certain species at time L Complete parts (a) through (o) below. (U? (b) If the initial population is 3300 (that is, p(0) = 3.3), what can be said about the limiting population lim If p(0) = 3.3, then lim p(t) = 3.3+1 The population will increase and level off Enter your answer in the answer box and then click Check Answer. Check Answer Clear All 3 5 parts remaining Next → tions

Answer 1

ap= f(p) = p(p-1.25)(p-3) dt critical points are,f(p)=0 p=0.1.25,3 p<0 then f (p<0 0<p<1.25 then f (p) > 0 1.25<p<3 then f(p<0 p>3 then f(p)>0 (6) ifp(0) = 3.3 > 3 then f(p)>0 then p>0 then p(t) is incrses ift>0 then p(t) > p(0) = 3.3 then p(t) → as t o pt) is incrses to tends to infinity dt