(main)[5]
Determine the values of $A$ and $k$ accurate to 2 decimal places.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ obey the relation $y = Ae^{-kx^2}$, in which $A$ and $k$ are constants. The plot of $\ln y$ against $x^2$ is a straight line that goes through the points $(0.64, 0.76)$ and $(1.69, 0.32)$, as illustrated in the diagram.