(a) Evaluate $\Delta (e^{2x} \log 3x)$ and $\Delta (x^2 e^x)$. (b) Prove that $\Delta = E\nabla$, $\nabla = E^{-1}\Delta$ and $\Delta\nabla = \nabla\Delta = \delta^2$.

(a) Evaluate $\Delta (e^{2x} \log 3x)$ and $\Delta (x^2 e^x)$. (b) Pr…

Previous year question with solution for Mathematics-III.