Consider a population satisfying where

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

Problem

Consider a population satisfying

\dfrac{dy}{dt}=k\,y(500-y)

where

k>0

. At what population value does the graph of any solution change concavity? (a)

y=125

(b)

y=0

(c)

y=250

(d)

y=\dfrac{500}{e}