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Find all possible Laurent series of $f(z)=\cfrac{z^{2}-1}{z^{2}+5z+6}$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Show that the matrix:
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Gram-Schmidt Process .
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Chapter 4 Probability
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Using Rayleigh-RHZ method find solution for the extremal of the functional,
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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For the 50 students in the class mean of X is 62.4 and 16 Var(X)=9 Var(Y).
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Using Cauchy Residue theorem,
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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If x is a normal variable with mean 10 and standard deviation 4, find:
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find the eigen values of:
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Calculate the correlation coefficient between x and y from the following data: $N=10$, $\sum x=140$, $\sum y=150$, $\sum (x-10)^{2}=180$, $\sum (y-15)^{2}=215$, $\sum (x-10) (y-15) =60$.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find the given Laplace Transform
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find the extremal of $ \int_{x_1}^{x_2}(y^2-(y')^2-2ycoshx) \, dx $
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find the curve C of given length l which encloses maximum area.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Show that A is diagonalisable. Hence find transforming matrix and diagonal matrix.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find L.T. of (i) $\int\limits_0^t ue^{-3u} \cos^2(2u) du$ (ii) $t\sqrt{1+\sin t}$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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P.T. $\int\limits_0^b xJ_0(ax) dx =\dfrac ta J_1(ab) $
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Use the Kuhn-Tucker conditions to solve the following N.L.P.P. Maximize $z = 2x_{1}^2 - 7x_{2}^2 + 12x_{1}x_{2}$
engineering mathematics updated 3.8 years ago by phenjoisilab • 0
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If the tangent of the angle made by the line of regression of y on x is 0.6 and $\sigma_{y} = 2\sigma_{x}$. Find the correlation coefficient between x and y.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Find the equation of the two lines of regression and hence find correlation coefficient from the following data.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Calculate the karl Pearson's coefficient of correlation for the following data.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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It is given that the mean of X and Y are 5 and 10 . If the line of regression of y on x is parallel to the line 20y = 9x + 40 , estimate the value of y for x=30
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Evaluate $\int\int_{s} (\nabla \times \overline{F})d\overline{s}$
engineering mathematics updated 3.8 years ago by phenjoisilab • 0
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State and prove Cauchy's integral formula for the simply connected region and hence evaluate $\int\frac{z + 6}{z^2 - 4}dz, |z - 2| = 5.$
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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If A = $\begin{bmatrix} 2 & 1 \\ 1 & 2 \end{bmatrix}$ find $A^{50}$.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Show that the set W = $\boldsymbol{\{}$[x, y, z]| y = x+ z$\boldsymbol{\}}$ is a subspace of R${}^{n}$ under the usual addition and scalar multiplication.
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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