(a) The area between the curves $y^2 = 4ax$ and $x^2 = 4ay$ revolves…
Previous year question for Engineering Mathematics-I.
Question
(a) The area between the curves $y^2 = 4ax$ and $x^2 = 4ay$ revolves about the $x$-axis. Find the volume of the solid thus generated.
(b) Evaluate $\iint_R (x^2 + y^2) \, dx \, dy$ over the area $R$ of the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ in the first quadrant by using the transformation $x = au$ and $y = bv$.
- Year: 2018
- Subject: Engineering Mathematics-I