The number of online views of a video evolves according to

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

Problem

The number

V(t)

of online views of a video evolves according to

\dfrac{dV}{dt}=0.2\,V\,(3{,}000{,}000-V)

. Which of the following numbers best represents the maximum total views predicted by the model? (a)

600{,}000

(b)

1{,}500{,}000

(c)

3{,}000{,}000

(d)

2{,}400{,}000