KERALA UNIVERSITY Class 1 engineering mathematics i Question Paper 2022

Practice authentic previous year questions for better exam preparation.

Sample Questions

Find the radius of curvature at the point $(1,1)$ on the curve $y=x^{3}$.
If $z=\frac{x^{2}+y^{2}}{\sqrt{x+y}}$, prove that $x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}=\frac{3 z}{2}$
If $u=\frac{y z}{x}, v=\frac{z x}{y}$ and $w=\frac{x y}{z}$, show that $J\left(\frac{u, v, w}{x, y, z}\right)=4$
Find the Laplace transform of $t e^{-t} \cos ^{2} t$.
The matrix $A=\left[\begin{array}{ccc}2 & 1 & 0 \\ 0 & 1 & -1 \\ 0 & 2 & 4\end{array}\right]$ has an eigen value 3 with corresponding eigen vector $X=\left[\begin{array}{c}1 \\ 1 \\ -2\end{array}\right]$ find $A^{7} X$.