1- Find the singular point of the function f(z): and obtain the principle part of %3D z-sin(2) the Laurent series expansion of f(z). z coshnz 2+13z+36 [t2 +1 t-1 2- Evaluate (CCW) dz, C:2 = n. 2 %3D 3- Given A = Evaluate A and show that (A?) 24 de 5. dt c200

Q: . Find Fourier series of the following functions on the interval [-1, 1]: a) f(x) = sin(6r), b) f(x)…

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Q: cos(22²) for 2 > 0. Z7 - Let f(z) = (a) Use the Taylor series representation of the cosine function…

A: 1)Taylor series of cos z is,cos z=1-z22!+z44!-z66!+z88!-z1010!+...........2)pole:If the Laurent…

Q: 5) Let y(x) = ax" be the Taylor expansion about x = 0 of the solution of the ODE IVP y" + xy + (sin…

A: Taylor's series of sin⁡(x) about x=0 issin⁡x=x−x33!+x55!−x66!+⋯

Q: y = - 1.5 cos (3x -90) +0.5   what is the    a) period  b) amplitude  c) the phase shift

A: Since you have uploaded multiple part questions according to our guidelines we have solved the first…

Q: Find fe(), the Fourier series expansion of * € [-L, 0), * € [0, L], where k and L are positive…

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Q: Consider the 2π-periodic even function defined for - f(t) = 9. ao = (for n ≥ 1) an = = (for n ≥ 1)…

A: The given periodic function is ft=9costcost+59 if t≠±π2 and fπ2=-3,  f-π2=-3 . The function is…

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Q 3. Find the Taylor series of f at the point c for : (a) f(x) = e", c= 2 (c) f(x) = sin x, c= T (b)…

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