2023 SAJC BT P2 Q3
(i)
Show that $\int_{0}^{\frac{\pi }{2}}{{{e}^{2y}}\cos 2y}\text{ d}y=a\left( {{e}^{\pi }}+1 \right)$ , where $a$ is a constant to be determined.
[5]
(ii)
A curved container has a flat circular top. The shape of the container is formed by rotating part of the curve $x={{e}^{y}}\sin y$ between the point $\left( 0,0 \right)$ and $\left( {{e}^{\frac{\pi }{2}}},\frac{\pi }{2} \right)$ through $2\pi $ radians about the $y-$ axis. Find the exact volume of the container.
[5]
Suggested Video Solutions
Share with your friends!
Continue reading
Introducing Our Sec 1 Assessment Book: From Concepts to Confidence
Welcome to Tim Gan Math Learning Centre, where we have been dedicated to nurturing mathematical excellence since our establishment in 2017. At our centre, we are committed to providing quality
Entangled in the Web: Managing Online Entertainment, Internet Addiction, and Academic Achievement in Math
In today’s digital age, the internet has seamlessly woven itself into the fabric of our daily lives, becoming an indispensable tool for communication, information, and, notably, entertainment. The allure of
Goal Setting and Progress Tracking for Math Students: A Comprehensive Guide
In the pursuit of academic success, setting and achieving goals play a pivotal role, particularly in disciplines like mathematics. Effective goal setting not only provides students with a roadmap for