Sketch the curve $C$ given by the equation $4{{x}^{2}}-9{{\left( y+1 \right)}^{2}}-36=0$ indicating

Question

Sketch the curve $C$ given by the equation $4{{x}^{2}}-9{{\left( y+1 \right)}^{2}}-36=0$ indicating clearly the equations of any asymptotes. [2] Find the volume generated when the region bounded by $C$ and the line $x=-\frac{\sqrt{45}}{2}$ is rotated through $2\pi $ radians about the $y$-axis. [3]

Accepted Answer

(b) $9.42$ ($3$ s.f.)

2022 DHS P2 Q1

2022 DHS P2 Q1

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