NYJC Applications of Integration Tutorial Q1
The curve $C$ is defined by the parametric equations
$x=6t-1$, $y=8{{t}^{2}}+2$ where $t\ge \frac{1}{6}$.
The line $N$, with equation $3y=8x-10$, is the tangent to $C$ at the point $\left( 5,10 \right)$. The region enclosed by $C$, $N$ and the $y$-axis is denoted by $R$.
(a)
Find the area of $R$.
(b)
Find the cartesian equation of $C$. Hence, find the volume generated when $R$ is rotated about the $y$-axis through ${{360}^{\circ }}$.
Suggested Video Solutions
Share with your friends!
Continue reading
Maximizing June Holidays: Is Joining a Crash Course Necessary?
As June holidays approach, students find themselves at a crucial juncture in their academic journey. With the semester winding down and exams looming on the horizon, the pressure to excel
5 Exam Preparation Tips: How We Help Students Excel in Exams
In the ever-evolving landscape of education, where academic success is often measured by performance in exams, the need for effective test preparation has never been more critical. Students face a
List MF 27
What is the MF 27? The MF 27, set to replace the MF 26 from 2025, is a comprehensive formula sheet developed by the Ministry of Education Singapore in collaboration