Question 9
The diagram shows the curve with equation $y = \dfrac{9}{(5x+4)^{\frac{1}{2}}}$ and the line $y = 6 - 3x$. The line and the curve intersect at the point $P$ which has $y$-coordinate 3.
Find the area of the shaded region.
Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (12) · Pure Mathematics 1 - Question 9
Cambridge AS & A Level · Paper 1 (12) · Pure Mathematics 1
The diagram shows the curve with equation $y = \dfrac{9}{(5x+4)^{\frac{1}{2}}}$ and the line $y = 6 - 3x$. The line and the curve intersect at the point $P$ which has $y$-coordinate 3.
Find the area of the shaded region.
