Given: Arg(Ln(z)) = 3 (radians) and z| = 70. Find S = Im(z) + Re(2) roblem 4 For x, y, z E IR 5x +y +z =0 Given: 2x -2y +2z =0 3x +3y -2 =0 and xyz = -48. Find: S=x+ y+z

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
I need problem 3 and 4 and do all parts of questions 4 and 5 from second picture relevant to it
Question 1) Enter | (absolute value)
Question 2) Find the sum of the first 4 non-zero coefficients of the Laurent series from the following choices:
a) 2374
b) 2379
c) 2384
d) 2389
e) 2394
1)
2399
g) 2404
h) 2409
Question 3) Enter the residue Res(f(2) for problem #2
z=3
Question 4) Enter the value of S for problem #3
Question 5) Enter the value of S for Problem #4 from the following choices:
a) + 8
b) -10
c)
+12
d) -14
e)
+16
1)
-18
g) +20
h) -22
Transcribed Image Text:Question 1) Enter | (absolute value) Question 2) Find the sum of the first 4 non-zero coefficients of the Laurent series from the following choices: a) 2374 b) 2379 c) 2384 d) 2389 e) 2394 1) 2399 g) 2404 h) 2409 Question 3) Enter the residue Res(f(2) for problem #2 z=3 Question 4) Enter the value of S for problem #3 Question 5) Enter the value of S for Problem #4 from the following choices: a) + 8 b) -10 c) +12 d) -14 e) +16 1) -18 g) +20 h) -22
The answers are to be uploaded to Blackboard. See page 2 for details. Some of the answers are meaningless numbers. You
are being asked to find them to demonstrate that you did the problem. All calculated numeric answers should be exact or
have 3 place precision.
Problem 1 Evaluate
1- 36z?
%3D
-dz, on the unit circle, CCW
4
(z++i) (3z + 1)
Problem 2
1
For (2)
(z+ 1)(z-3)
(a) Find the Laurent series valid for 15 < |z + 7I
(b) Find Res(f (2), +3)
Problem 3
Given: Arg(Ln(z)) = 3 (radians) and |2| = 70.
Find S = Im(z) + Re(z)
Problem 4
For x, y, z E R
5x
+y
+z = 0
Given: 2x -2y +2z = 0
3x +3y
-2 =0
and xyz = -48.
Find: S= x + y+z
Transcribed Image Text:The answers are to be uploaded to Blackboard. See page 2 for details. Some of the answers are meaningless numbers. You are being asked to find them to demonstrate that you did the problem. All calculated numeric answers should be exact or have 3 place precision. Problem 1 Evaluate 1- 36z? %3D -dz, on the unit circle, CCW 4 (z++i) (3z + 1) Problem 2 1 For (2) (z+ 1)(z-3) (a) Find the Laurent series valid for 15 < |z + 7I (b) Find Res(f (2), +3) Problem 3 Given: Arg(Ln(z)) = 3 (radians) and |2| = 70. Find S = Im(z) + Re(z) Problem 4 For x, y, z E R 5x +y +z = 0 Given: 2x -2y +2z = 0 3x +3y -2 =0 and xyz = -48. Find: S= x + y+z
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