(i)[4]
Find the equation of the normal through $P$.
(ii)[7]
Find, with all necessary working shown, the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a segment of the curve $y = \sqrt{5x - 1}$ together with the normal to the curve at the point $P(2, 3)$. This normal intersects the $x$-axis at $Q$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiates correctly to obtain $\dfrac{dy}{dx}=\tfrac56$.” …
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