Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ obey the equation $y = Ae^{(A-B)x}$, where $A$ and $B$ are constants. The graph of $\ln y$ against $x$ is a straight line that passes through $(0.4, 3.6)$ and $(2.9, 14.1)$, as illustrated in the diagram.
(main)[5]
Determine the values of $A$ and $B$ correct to 3 significant figures.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply equation $\ln y = \ln A + (A - B)x$” …