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The first four moments of distribution about the value 4 are -1.5, 17, -30 and 108. Obtain the first four central moments, mean, standard deviation and coefficient of skewness and kurtosis.

engineering mathematics updated 3.0 years ago by binitamayekar ★ 6.7k

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Using Cauchy's Residue theorem evaluate $\oint_{c}e^{1/z}sin( \frac{1}{z})dz$ where c is |z|=1.

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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If $A = \begin{bmatrix} \ 2 & 3 \\ \ -3 & -4 \\ \end{bmatrix}$ ,prove that $A^{50}=\begin{bmatrix} \ -149 & -150 \\ \ 150 & 151 \\ \end{bmatrix}$

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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Verify Greens's theorem for $F=x^{2} i-x y j$ and $C$ is the trinngle with vertices $A(0,2), B(2,0), C(4,2)$,

engineering mathematics updated 3.0 years ago by prajapatijaimin • 3.3k

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Using Dual Simplex method soive the following L.P.P Max. $Z = -2x_1 - x_3$

engineering mathematics updated 2.7 years ago by sagarkolekar ★ 11k

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Percentage Error analysis

engineering mathematics updated 3.4 years ago by rajkumarankit9701 • 30

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find karl pearson's coefficient of correlation from the following data

engineering mathematics updated 3.2 years ago by yashbeer ★ 11k

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Obtain Taylor's and Laurent's series of $f(z)=\frac{2}{(z-1)(z-2)}$ indicating region of convergenc

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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A vector field is given by $F=3x^3yi + (x^3-2yz^2) j+ (3z^2-2y^2z) k$ is irrational. Also find ? such that F= ? ?. Also evaluate the line integral from (2,1,1), (2,0,1)

engineering mathematics updated 3.1 years ago by RakeshBhuse • 3.2k

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594

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Given that 6 Y = 5 X + 90 , 15 X = 8 Y + 130 ,

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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657

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Obtain the coefficient of correlation and the rank of correlation coefficient from the following dat

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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Non trivial solution

engineering mathematics updated 3.1 years ago by RakeshBhuse • 3.2k

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Solve $6\frac{d^2y}{dx^2}+ 17\frac{dy}{dx}+12y=e^{-3/2x}+2^x$ .

engineering mathematics updated 3.0 years ago by pedsangini276 • 4.8k

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Solve $6\frac{d^2y}{dx^2}+ 17\frac{dy}{dx}+12y=e^{-3/2x}+2^x$ .

engineering mathematics updated 3.0 years ago by pedsangini276 • 4.8k

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Is the matrix $A = \begin{bmatrix} \ 2 & 1 & 1 \\ \ 1 & 2 & 1 \\ \ 0 & 0 & 1 \\ \end{bmatrix}$ diagonalisable ?If so find the diagonal form and the transforming matrix.

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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Evaluate $\int _{c}\frac{z^2}{(z-2)(z+3i)}dz$ where c is (i) |z+1|=2 (ii) |z-2|=2

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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368

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Complex numbers In engineering mathematics

engineering mathematics updated 3.0 years ago by gbadebomololuwa4chr887 • 30

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Verify Cayley-Hamilton Theorem for the matrix A and hence find $A^{-1} A^{-2} and A^4$ where $A = \begin{bmatrix} \ 1 & 2 & -2 \\ \ -1 & 3 & 0 \\ \ 0 & -2 & 1 \\ \end{bmatrix}$

engineering mathematics updated 3.3 years ago by teamques10 ★ 69k

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459

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Cayley Hamilton Theorem

engineering mathematics updated 3.4 years ago by rajmurtigpawar123 • 30

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Using duality solve the following L.P.P Max. $Z = 5x_1 -2x_2 + 3x_3$

engineering mathematics updated 2.7 years ago by sagarkolekar ★ 11k

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505

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Prove whether vector space

engineering mathematics updated 2.9 years ago by binitamayekar ★ 6.7k

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Find the value of P for which the following matrix A will be of rank one, rank two, rank three where \[\left[A=\begin{array}{ccc}3 & p & p \\p & 3 & p \\p & p & 3\end{array}\right]\]

engineering mathematics updated 3.9 years ago by teamques10 ★ 69k

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Prove that \[w=\frac{x}{x^2+y^2}\ -i\frac{y}{x^2+y^2}\] is analytical find f(z) in terms of z.

engineering mathematics updated 3.9 years ago by teamques10 ★ 69k

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Find the non singular matrices P and Q such that PAQ is in normal form.Also find rank of A. $ \\ \; \\ A=\left[ \begin{array}{ccc} 4 & 3 & 1 & 6\\ 2 & 4 & 2 & 2\\12 & 14 & 5 & 16\end{array} \right] $

engineering mathematics updated 3.0 years ago by sagarkolekar ★ 11k

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Find inverse Z-transform of \[\frac{2z^2-10z+13}{{\left(z-3\right)}^2\left(z-2\right)}\] if R.O.C. is 2|z|<3.

engineering mathematics updated 3.9 years ago by teamques10 ★ 69k