Generate KERALA UNIVERSITY Class 5 engineering mathematics 4 Question Paper

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Sample Questions

(a) Find the image of $|z-3 i|=3$ under $w=1 / z$
Show that the function $f(z)=\bar{z}$ is nowhere differentiable.
If $f(z)=(x-y)^{2}+2 i(x-y)$. Show that the C-R equations are satisfied along the curve $x-y=1$.
Evaluate $\int_{0}^{1+i}(x-y+i x)^{2} d z$ along the line from $z=0$ to $z=1+i$.
Show that $H=\left\{(x, y, z) \varepsilon R^{3}: x-y=z\right\}$ is a subspace of $R^{3}$.