The value of \(\overset{lim}{\theta \rightarrow /2}\frac{cot\: \theta }{\frac{\pi }{2}-\theta }\) is _________.
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If A=\(\begin{bmatrix} 3\: -4 & \\ 1\: -1 & \end{bmatrix}\), then An is equal to
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The eigenvalue of the matrix \(\begin{bmatrix} 1\: 2\: 1 & & \\ 6\: -1\: 0 & & \\ -1\: -2\: -1 & & \end{bmatrix}\) are
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A scalar function φ is defined by f = y2– x2, then the magnitude of the gradient at (2, 3) is _________.
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Given φ= y2– x2
To find Magnitude of the gradient at (2, 3).
The equation x3+ 4x – 9 = 0 solved by using the Newton-Raphson method is
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The integral \(\oint\)f(z) dz valuated around the unit circle on the complex plane for f(z)=\(\frac{cos\: z}{z}\) is
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The most general complex analytical function F(z) = u (x, y)+ iv (x, y) for, u = x2 – y2 is
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The value of \(\int_{c}[(x-y)]dx+3xy\: dy]\) and c is the curve x2 = 4y,y2 = 4x is _________.
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The value of \(\int_{0}^{\infty }t^{-3/2}(1-e^{-t})dt\) is ________.
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