(i)[5]
Show that the $x$-coordinate of $M$ can be expressed as $\ln a$, and state the value of $a$.
(ii)[4]
Find the exact area of the region bounded by the curve and the lines $x = 0$, $x = 2$ and $y = 0$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = 4e^{\frac{1}{2}x} - 6x + 3$ together with its minimum point $M$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get an expression of the form $ke^{\frac{1}{2}x}+m$” …
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