obeys the decay differential equation: \begin{equation ... the number of bacteria increased tenfold in 10 hours. Assuming natural growth, how long did it take for their number to double? A bacterial ...

It's a non-repeating number that never ends. It's found in many contexts, from exponential growth to radioactive decay. In finance, e is used to calculate growth via compound interest. It's also ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...