Exponential growth occurs when a quantity increases by a constant factor over equal intervals. This type of growth is often observed in populations, investments, and other systems where the rate of ...

What’s the greatest shortcoming of the human race? I’m sure we all have some suggestions, but according to physicist Albert Bartlett, it is “our inability to understand the exponential function.” ...

Tyee contributing editor Andrew Nikiforuk is an award-winning journalist whose books and articles focus on epidemics, the energy industry, nature and more. Exponential growth looks like a jet taking ...

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 ...

(a)\(\ds \frac{dA}{dt}=pA\text{,}\) \(A(0)=A_0\text{;}\) \(A=A_0e^{pt}\text{.}\) (b) Solve \(15,000=10,000\cdot e^{4p}\) (a) \(\ds \frac{dA}{dt}=k(M-A(t))\text ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...