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 ...

Two basic principles are involved, the idea of exponential growth and its ultimate control ... Recall, for example, the basic problem of mitosis, to make two cells from one.

Limits and derivatives, including differentiation rules, curve sketching and optimization problems. Implicit differentiation. Study of exponential and logarithmic functions motivated by growth, decay ...

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 ...