f(z) = 37" sin(-), n ezt If there are singular points, classify them. If there are polar points, find the residual values corresponding to the pole points.
sin z-tanz Find and classify all singularities of the function f(z) = 2
complex anaylsis, cite any theorems used, thanks
Z with at (i() Find a single function f(2) which has all of the following: - f(z) is discontinuous at the origin and discontinuous at all points Arg (Z) = t but fczy is continuous all other points of c. f has a simple zero at z=í f has a pole of order 3 at Z=T (ii) Determine whether (*) below is true or false. If true prove it it false, give a...
1. f (m, n) m- n* 10; main int z[] 10, 20, 30; print(z [w], z[0]); Given the code above, what is the output of the program if the values are passed by: a) Value. b) Value-result and address of z[ c) Reference. d) Name is computed at the time of the cal Note: The order of evaluating the parameters of a subprogram are from left to right.)
Complex Analysis:
1 + COS Z Define the function 1 f(2)= (z + 1)2(23 +1) (a) Find all the singularities of f(z) and classify each one as either a removable singulatiry, a pole of order m (and find m), or an essential singularity. (b) Let I = 71+72, where yi and 72 are the directed smooth curves parameterized by TT zi(t) = 2i(1 – 2t), 0 < t < 1 z2(t) = 2eit, 277 < t < 2' respectively. Compute...
(a) Find and classify all of the critical points of the function X f(x, y, z) = (x2 +42 + x2)3/2 on the unit sphere. (b) Find and classify all of the critical points of the function f(x, y, z) = x sin(x2 + y2 +22) on the sphere of radius
This is a complex variable
question!!!!!!!!!!!!!!
Let e2 f(z) = P1-2) This function has a pole at 0. What is the order of that pole, and what is the residue Res (f;0) of that pole?
1 1 + COS Z 8. Define the function f(x) = (2 + 1)2( 23 +1) (a) (6 points) Find all the singularities of f(z) and classify each one as either a removable singulatiry, a pole of order m (and find m), or an essential singularity. (b) (6 points) Let I = 71+72, where 71 and 42 are the directed smooth curves parameterized by -TT TT zi(t) = 2i(1 – 2t), 05t51 z2(t) = 2eit, sts 2' respectively. Compute Sr...
Consider the function z(z-3) f (z) = - (z+1)2 (22+16) Syntax notes: • When entering lists in the questions below, use commas to separate elements of the list. Order does not matter. • The complex number i is entered as I (capital i). (a) List all the poles of f(z). -1,4-1,-4*1 BD (b) Enter the residue of the second-order pole. -1/4 OD
complex anaylsis (cite all theorems used please)
suppose fc z)= [(2+1)²( 2² +1)] + [COS(2)] a] Find all the singularities of f(z) and classify each a removable singularity, a pole of order in (and find m), or an essential singularity. one as either