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961
Match the following.$\begin{array}{|l|l|l|l|} \hline P. & \text{Stokes’s Theorem} & 1. & ∯ D.ds = Q \\ \hline Q. & \text{Gauss’s Theorem} & 2. & \oint f(z) dz =0 \\...
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962
Consider a function $f(x) = 1 - |x|$ on $-1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the minimum value of the function are:$0, -1$$-1...
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963
If a continuous function $f(x)$ does not have a root in the interval $[a, b]$, then which one of the following statements is TRUE?$f(a) . f(b)=0$$f(a) . f(b) < 0$$f(a) . ...
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966
$\displaystyle{}\int \frac{z^2-4}{z^2+4}\: dz$ evaluated anticlockwise around the circle $\mid z-i \mid=2$ , where $i=\sqrt{-1}$, is$-4\pi$$0$$2+\pi$$2+2i$
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969
If the sum of the diagonal elements of a $2 \times 2$ matrix is $-6$, then the maximum possible value of determinant of the matrix is ________
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973
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975
The block diagram of a system is shown in the figureIf the desired transfer function of the system is $\dfrac{C(s)}{R(s)}=\dfrac{s}{s^2+s+1}$ then $G(s)$ is$1$$s$$1/s$$\d...