Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve is defined by $y = \sqrt{3x - 2}$, while the straight line is $y = \frac{1}{2}x + 1$. These two graphs meet at points $A$ and $B$.
(a)[4]

Find the coordinates of $A$ and $B$ from the diagram.

(b)[5]

Hence determine the area of the region enclosed by the curve and the line.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set the curve equal to the line and show an attempt at solving.

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