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?

Question

Mathematics

Guest

5 September, 04:36

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?

+4

Answers (1)

Know the Answer?

Naomi Howe · 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.