A wildlife refuge models a deer population with

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A wildlife refuge models a deer population with dydt=k y (300−y)\dfrac{dy}{dt}=k\,y\,(300-y). If the current population is 150150 deer and the parameter kk is suddenly doubled while the population size remains unchanged, how does the instantaneous growth rate change? (a) It quadruples. (b) It remains the same. (c) It doubles. (d) It is halved.

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