KERALA UNIVERSITY Class 1 engineering mathematics i Question Paper 2019

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Sample Questions

101 : ENGINEERING MATHEMATICS-I (ABCEFHMNPRSTU) Time : 3 Hours Max. Marks : 100 Answer all questions. Each question carries $\mathbf{4}$ marks.
Find the centre of curvature of the curve $x y=c^{2}$ at ( $C, C$ ).
If $u=f(y-z, z-x, x-y)$ prove that $\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}+\frac{\partial u}{\partial z}=0$.
Evaluate $\int_{0}^{1} \int_{0}^{\sqrt{1-x^{2}}} \frac{d y d x}{1+x^{2}+y^{2}}$.
Find the inverse Laplace transform of $\frac{2 S+5}{S^{2}+4 S+13}$.