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?

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Mathematics

Pixie Stick

10 June, 16:33

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?

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Kenyon Macias · 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.