The number of geese is modeled by the function G(t) that satisfies the differential equation dG dt equals the product of G divided by 5 and the quantity 350 minus G where t is the time in year...

Question

The number of geese is modeled by the function G(t) that satisfies the differential equation  . What is the goose population when the population is increasing most rapidly?

A	350
B	175
C	70
D	Cannot be determined

Answer 1

Differentiate dG/dt with respect to time and set the derivative = to zero.

This will give you the value of G when dG/dt is maximum.

The answer is B.