Suppose the population of a species of animals on an island is governed by the logistic model with relativerate of growth k = 0.05 and carrying capacity M= 15000. I.e., the population function P(t) satisfies theequation P' = bP(15000 - P), where b = k/M. If the current population is P(0) = 20000, which one of thefollowing is closest to P(1)?O a) 19700O b) 19890Oc) 19680Od) 19690Oe) 19805Of) 19742Motion

Given logistic model with relative growthk=0.05 and carrying capacityM=15000 is P'=bP(15000-P)…

Answered: P(t) satisfies the Suppose the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic function f(x)=lnx+1 at the point x0=1.
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