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) $3\sqrt3-\dfrac23\text{ units}^2$ (b) $\left(\dfrac{42\sqrt3}{5}+\dfrac8{15}\right)\pi\text{ units}^3=47.4\text{ units}^3$ to $3$ significant figures

2025 HCI P2 Q1

2025 HCI P2 Q1

Video Solution:

Solution:

Solution locked