dP Problem Four (10 pts): Suppose a population is described by the differential equation = (P-2)(P - 3)(P-4). dt (P-3)(P

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Dp Problem Four 10 Pts Suppose A Population Is Described By The Differential Equation P 2 P 3 P 4 Dt P 3 P 1 (211.84 KiB) Viewed 27 times

dP Problem Four (10 pts): Suppose a population is described by the differential equation = (P-2)(P - 3)(P-4). dt (P-3)(P-2). We define f(P) = (P2(P-3)(P-4). p2-2p 3pts=1? + 1. (2pts) Find and list the roots of f(P). (p2-5p+6)(P-4) P-2=0 P-3=0 P-4=0 p3-4p2-5p2+20p top-14 P=2) P=3 ) = 2. (2pts) In the following box, sketch (P). Clearly indicate the location of the roots. Likewise, add arrows on the P-axis indicating the direction of the flow. +26724 f.(P.). [p = 97 f(P) = p 3 - 9p² +26p - 24 .de P-9p²r260 277 PL -1 1 2 3 5 3. (1 pt each) For the given choices of Po, determine lime--. P(t). (i) Po = 1, then lim --- P(t) = (i) Po = 2, then lime- P(t) = (ii) Po = 4, then limeva P(t) =LO (iv) P = .5, then lim - P(t) = (v) Po = 3.5, then lime- P(t) = - .375 + (vi) Po = 4.5, then lim --- P(t)