Question: NEED HELP ASAP (20 points) Problem (1) A population Pis modeled by the differential dP equation = P(1- 2. The slope field of the differential

NEED HELP ASAP

(20 points) Problem (1) A population Pis modeled by the differential dP equation = P(1- 2. The slope field of the differential equation is dt 100 shown below. - 11 250 1200 150 100 VIII /\\\\\ /\\\\ II. III \\\\ 50 -/\\\\\ /// //// 4 \-2 \\\\4 18 10 12 14 16 18 IIIIIIIIIIIIII III III (i) Sketch the solution curves that satisfy the given initial conditions. 1 1 1 1 1 1 1 1 P(O) = 100 P(O) = 50 = P(0) = 200 (ii) What are the equilibrium solutions? (iii) For what values of P is the population increasing? Decreasing? (iv) Find lim P(t) for all P >0. t+00

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