(a)[6]
Find the coordinates of $A$, $B$ and $C$ by calculation.
(b)[6]
Find the volume generated when the shaded region, bounded by the curve and the line, is rotated through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a section of the curve $y = \frac{8}{x+2}$ together with the line $2y + x = 8$, which meet at $A$ and $B$. Point $C$ is on the curve, and the tangent at $C$ runs parallel to $AB$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Solve the simultaneous equations that involve $\frac{8}{x+2}=4-\frac12x$” …
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