KERALA UNIVERSITY Class 1 engineering mathematics Question Paper 2021

Practice authentic previous year questions for better exam preparation.

Sample Questions

(b) Find the maximum value of $u=x^{3} y^{2}(1-x-y)$.
(a) Find the evolute of the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$
(i) $\lim _{x \rightarrow \frac{\pi}{2}}(\tan x)^{\cos x}$ (ii) $\lim _{x \rightarrow 0}\left(\frac{1}{\sin x}-\frac{1}{x}\right)$.
(a) Find the volume of the sphere $x^{2}+y^{2}+z^{2}=a^{2}$.
(b) Change into polar co-ordinates and evaluate $\int_{0}^{\infty} \int_{0}^{\infty} e^{-\left(x^{2}+y^{2}\right)} d y d x$.