EGM4313HW11 - Page 651, problem 24 1 1 cos(2 z )dz 2 sin(2...

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Page 651, problem 24 11 cos(2 ) sin(2 ) sin( 2 ) sinh(2 ) 22 C z dz i i i Page 651, problem 28 5 6 5 6 2 (5) 0 10 2 ( 2 ) 2 ( 2 ) C C C dz dz dz i i z i z i z i z i       Page 659, problem 9 2 zz d e ze dz   for all z . Therefore 2 z e is analytic everywhere 2 1 0 z z e dz  Page 659, problem 14 1 z is not analytic. On the unit circle   2 2 2 4 0 1 0 0 , cos sin( ) cos( ) sin( ) , 1 1 1 1 0 2 2 2 i i i i i i i i z z e z i i e dz ie d ie dz d ie d e e ze  Page 659, problem 24 2 1 2 1 2 1 C C C dz dz dz z z z For the first integral the integral around the left loop is zero and is
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