The function models the population (in hundreds) of a bacterial colony hours after…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function

p(t)=t\,e^{-0.2t^{2}}

models the population (in hundreds) of a bacterial colony

t

hours after inoculation. For

t>0

, at what time does the population attain a maximum? (a)

t\approx2.5

(b)

t\approx1.6

(c)

t\approx0.8

(d)

t\approx3.2