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If f($\xi$) = $\int \frac{3z^2+2z+1}{z-\xi} dz $ over the curve C where C is the circle $x^2+y^2=4$.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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If $ \phi(\alpha)= \int \frac{ze^z}{z-\alpha} dz $ over the curve C where C is |z-2i| = 3
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Obtain Laurent series for $ f(z) = \frac{2z - 3}{z^2 - 4z + 3} $ in powers of z-4 indicating regions of convergence in each case.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Obtain Laurent series for $ f(z) = \frac{4z-3}{z^2-z-6} $ at z = 1
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int \frac{z - 1}{z^2 + 2z + 5} $ dz over the curve C
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Obtain Laurent expansion of f(z) = $\frac{z-1}{z^2-2z-3}$ indicating regions of convergence in each case.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Using Residue theorm evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{5+3sin \theta} $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{(2+cos \theta)^2 } $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{3 + 2cos \theta} $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int_{- \infty}^{\infty} \frac{dx}{(x^2+1)^2} $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int_{0}^{\infty} \frac{1}{(x^2+1)(x^2+9)} dx $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $ \int_{- \infty}^{\infty} \frac{x^2+x+2}{x^4+10x^2+9} dx $ using Contour Integration.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find eigen values and eigen vectors of following matrices.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Eigen values of real symmetric matrix are real.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Eigen values of unitary matrix are of unit modules
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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For the given matrix, find eigen values and eigen vectors of the the equation B.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find characteristic equation of matrix A and hence find matrix represented by
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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If a matrix A is given, show the following
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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If a matrix A is given, prove that 3tanA=Atan3
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Are the following matrices derogatory? If yes, find its minimal polynomial.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $\int\limits_0^6 xf(x) dx$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Compute the value of the definite integral $\int\limits_{0.2}^{1.4}(\sin x-\log_e x+e^x)dx $ by
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $\int\int\limits_R xy\space dxdy$ where R is the region bounded by $x^2+y^2-2x=0 \space y=x$ and $y^2=2x$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find the area bounded by parabola $y^2 = 4x$ and line $y = 2x-4$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find the volume bounded by $y^2 = x, x^2 = y$ and the plane $z = 0$ and $x + y + z = 1$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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