Generate KERALA UNIVERSITY Class 1 engineering mathematics Question Paper
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Sample Questions
- Find the radius of curvature of $\sqrt{x}+\sqrt{y}=\sqrt{a}$ at the point $\left(\frac{a}{4}, \frac{a}{4}\right)$.
- If $u=\log \frac{x^{2}+y^{2}}{x+y}$ prove that $x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}=1$.
- Evaluate $\int_{1}^{2} \int_{0}^{x} \frac{d y d x}{x^{2}+y^{2}}$.
- Solve $\frac{d^{2} y}{d x^{2}}-4 y=x^{2}$.
- Verify Cayley Hamilton theorem for the matrix $\left[\begin{array}{ccc}2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2\end{array}\right]$. Answer one full questions from each Module. Each question carries 20...