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Andrijana3306 asked Mar 19, 2018
GATE ME 2012 | Question: 12
Consider the function $f(x) = \mid x \mid $ in the interval $-1 \leq x \leq 1$. At the point $x=0, \: f(x)$ is continuous and differentiable non-continuous and differentiable continuous and non-differentiable neither continuous nor differentiable
Consider the function $f(x) = \mid x \mid $ in the interval $-1 \leq x \leq 1$. At the point $x=0, \: f(x)$ iscontinuous and differentiablenon-continuous and differentiab...
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Arjun asked Feb 24, 2017
GATE2016-2-27
The value of $\oint_{\Gamma }^{ }\dfrac{3z-5}{(z-1)(z-2)}dz$ along a closed path $\Gamma$ is equal to $(4\pi i)$ , where $z=x+iy$ and $i=\sqrt{-1}$. The correct path $\Gamma$ is
The value of $\oint_{\Gamma }^{ }\dfrac{3z-5}{(z-1)(z-2)}dz$ along a closed path $\Gamma$ is equal to $(4\pi i)$ , where $z=x+iy$ and $i=\sqrt{-1}$. The correct path $\G...
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Arjun asked Feb 24, 2017
GATE2016-2-4
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the function is analytic, is _____
A function of the complex variable $z= x+iy$, is given as $f(x,y) =u(x,y) +iv(x,y)$ , where $u(x,y) = 2kxy$ and $ v(x,y) =x^2 −y^2$. The value of $k$, for which the fun...
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Arjun asked Feb 24, 2017
GATE2016-3-2
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to $0 \\$ $\dfrac{1}{12} \\$ $\dfrac{4}{3} \\$ $1$
$\displaystyle{}\lim_{x\rightarrow 0}\dfrac{\log_e(1+4x)}{e^{3x}-1}$ is equal to$0 \\$$\dfrac{1}{12} \\$$\dfrac{4}{3} \\$$1$
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