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Engineering Mathematics Miscellaneous

Engineering Mathematics

  1. The value of ∮r
    3z - 5
    dz
    (z - 1)(z - 2)

    along a closed path R is is equal to (4πi), where z = x + iy and i
    = √- 1 . The correct path r is
Correct Option: B

r
3z - 5
dz = 4πi = 2πi (2)
(z - 1)(z - 2)

Sum of residues must be equal to 2

There force z = 1 must lies inside C
Z = 2 lies outside C



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