Question

find the exponential function y=Ce^kt that passes through the two points: (3,1/2) and (4,5)

Answer 1

Using the given points and the equation \(y=Ce^{kt}\), you can set up the following system of equations:
\[\large\begin{cases}\frac{1}{2}=Ce^{3k}\\\\\\
5=Ce^{4k}\end{cases}\]
Solve for C and k.