KERALA UNIVERSITY Class 1 engineering mathematics Question Paper 2019

Practice authentic previous year questions for better exam preparation.

Sample Questions

Find the $8^{\text {th }}$ derivative of $\mathrm{e}^{3 \mathrm{x}} \sin 3 \mathrm{x}$.
Find the radius of curvature at $(-2,0)$ for $y^{2}=x^{3}+8$.
Prove that $\log \left(1+e^{x}\right)=\log 2+\frac{x}{2}+\frac{x^{2}}{8}-\frac{x^{4}}{192}+\ldots$.
Show that $u=\frac{x}{y}$ and $v=\frac{x+y}{x-y}$ are functionally dependent. Hence find a relation between them.
Find the magnitude of velocity and acceleration of a particle which moves along $x=2 \sin 3 t, y=2 \cos 3 t, z=8 t$ at any time $t$.