The region $A$ is bounded by the curves $y=\sqrt{x+1}$, $y=\sqrt{7-2x}$, the $x$-axis and th

Question

The region $A$ is bounded by the curves $y=\sqrt{x+1}$, $y=\sqrt{7-2x}$, the $x$-axis and the $y$-axis. Find the exact area of $A$.[4] Find the volume of the solid obtained when $A$ is rotated through $2\pi$ radians about the $y$-axis.[3]

Accepted Answer

(a)$3\sqrt{3} - \frac{2}{3}$ units${}^2$. (b) $47.4$ units$^3$

2025 HCI P2 Q1

2025 HCI P2 Q1