For the function at the point (1, 2, 1), find its rate of change with distance in the direction
Evaluate the line integral (e^{x}y + cos x sin y) dx + (e^{x} + sin x cos y)dy, around the curve 'C'
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If a unitary matrix U is written as A + iB, where A and B are Hermitian matrix with non degenerate eigenval ues. then
If (A)_{nxn} is a square matrix, and elements of matrix A(a_{ij}) are such that
then value of det (e^{A}) is equal to
If solution y(x), of the differential equation subjected to the boundary conditions y(0) = 2, y'(0) = 1 has the form y(x) = Ae^{x} + Be^{x} + Ce^{2x}, then the value of A + B  C is
(upto two decimal places)
The range of values ofz, for which the following complex power series converges, is Izl < A, then A is .................. (answer should be an integer)
If the matrix can be diagonalised by a transformation of the form S* AS = A', where S has the normalized eigenvectors of A as its columns, then A' is
If is the fourier transformation of then the fourier trans form of f ' (t) is
If a complex function f (z) lias a pole of order m at z = z_{0}. then f'(z) has a pole of order
If the fourier series for Isin θ in the range π < θ < π is given by then the value of A is .........
If the fourier expansion of then the value of a2 if
If z = x^{y}, where y = tan^{1} t and x = sin t, then the value of dz/dt is equal to
If y (x) is the solution of the differential equation with y(1) = 1, then
then the value of integral where ‘S’ is the surface given by z = 12, x^{2}  y^{2} < 25 (taken anticlockwise), is
then which of the following statements is true about A and B
The value of the integral where C is closecl contour defined by the equation 2 z  1  3 = 0, traversed in the clockwise direction, is _______________________ (answer should be an integers)
1 docs34 tests

1 docs34 tests
