Question

The number of bacteria p in a pond after t hours is p(t). the more bacteria there are, them more rapidly the number increase. This is expressed by the equation p'(t) = 4p(t). Find the most general exponential function of the form A * e^Kt which satisfies the equation.
If there were 3500 bacteria at t = 0, how many are there 4 hours later?

Answer 1

In a pond after t hours is p(t). The more bacteria there are, the more rapidly the number increases. This is expressed by the equation p'(t)= 2p(t) . Find.