(a)[2]
Show that the $x$-coordinate for $B$ is $6\ln 2$.
(b)[5]
Find the area of the shaded region. Give your answer as $p\ln 2-q$, where $p$ and $q$ are positive integers.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The diagram depicts the curve with equation $y=8e^{-\frac{1}{3}x}-1$. It crosses the axes at the points $A$ and $B$. The shaded part is enclosed by the curve and the line segment $AB$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solve $8e^{-\frac{1}{2}x}-1=0$ with a suitable logarithm rule” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI