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The residues of a complex function X (z) = 
at its poles are
at its poles are- a)1/2,
and 1 - b)1/2,
and −1 - c)12, 1 and
- d)1/2, −1 and 3/2
Correct answer is option 'C'. Can you explain this answer?
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The residues of a complex function X (z) =at its poles area)1/2, and 1...
Concept:
Residue Theorem: If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then
f(z)dz = 2πi × [sum of residues at the singualr points with in C]Formula to find residue:
1. If f(z) has a simple pole at z = a, then
2. If f(z) has a pole of order n at z = a, then
Calculation:
Given:
Poles are simple and located at z = 0, z = 1, and z = 2
At z = 0, the residue is:
At z = 1, the residue is:
At z = 2, the residue is:
2. If f(z) has a pole of order n at z = a, then
Calculation:
Given:
Poles are simple and located at z = 0, z = 1, and z = 2
At z = 0, the residue is:
At z = 1, the residue is:
At z = 2, the residue is:
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Community Answer
The residues of a complex function X (z) =at its poles area)1/2, and 1...
Concept:
Residue Theorem: If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then
f(z)dz = 2πi × [sum of residues at the singualr points with in C]Formula to find residue:
1. If f(z) has a simple pole at z = a, then
2. If f(z) has a pole of order n at z = a, then
Calculation:
Given:
Poles are simple and located at z = 0, z = 1, and z = 2
At z = 0, the residue is:
At z = 1, the residue is:
At z = 2, the residue is:
2. If f(z) has a pole of order n at z = a, then
Calculation:
Given:
Poles are simple and located at z = 0, z = 1, and z = 2
At z = 0, the residue is:
At z = 1, the residue is:
At z = 2, the residue is:
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The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer?
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The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer?.
The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer?.
Solutions for The residues of a complex function X (z) =at its poles area)1/2, and 1b)1/2, and −1c)12, 1 andd)1/2, −1 and 3/2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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