The particular integral of (4D2 + 4D + 1) y = 8e-x/2 is
The vector [1, 2, 3], [1, 0, 0], [0, 1, 0], [0, 0, 1] are
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Real part of the is ______ (upto two decimal places)
Given z3 = 1. Let z0,z1 and z2 be the complex roots of the above equation.If z0 = 1, then the value of z1z2 is ____ (Answer should be an integer)
The dimensionality of the vector space of hermitian 3 x 3 matrices is ____ (answer should be an integer)
Given vector the line integral where C is a circle of radius 5 units with its center at origin is ________
The determinant of the metric tensor corresponding to ds2 = 5(dx1)2 + 3(dx2)2 + 4(dx3)2 - 6dx1dx2 + 4dx2dx3 is
Consider a vector v = (v1, v2, v3) in three dimensional complex vector space c3. A linear operator T is designed as follows
T( v1, v2, v3) = ( v1, v2 - v3,iv2)
Find T+ matrix representation using orthonormal basis
Given the Legendre polynomial P0(x) = 1, P1 (x) = x and then polynomial (3x2 + x -1)
Find the complex coefficient Cn of the fourier series of the function for n is odd.
The equation of the plane that is tangent to the surface xyz = 8 at point (1,2,4) is
The value of the integral is ______ (upto two decimal places)
The value of the Contour integral
and the contour C is a circle of radius 2 centred at the origin traversed in the counterclockwise direction is ______ (answer should be an integer).
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