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MATH106HOMEWORK5SOLUTIONS1.LetC1denotethepositivelyorientedcirclejzj=4 MATH106HOMEWORK5SOLUTIONS1.LetC1denotethepositivelyorientedcirclejzj=4

MATH106HOMEWORK5SOLUTIONS1.LetC1denotethepositivelyorientedcirclejzj=4 - PDF document

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MATH106HOMEWORK5SOLUTIONS1.LetC1denotethepositivelyorientedcirclejzj=4 - PPT Presentation

3z21bfzz2 sinz 2cfzz 1ezSolutionWeneedtoshowthegivenfunctionsareholomorphicintheareabetweenandonthetwocurvescallitAForathezerosof3z21arei p 3theybothlieintheareaenclosedbyC1sothe ID: 252986

3z2+1(b)f(z)=z+2 sinz 2(c)f(z)=z 1ezSolution:Weneedtoshowthegivenfunctionsareholomorphicintheareabetweenandonthetwocurves callitAFor(a) thezerosof3z2+1arei p 3 theybothlieintheareaenclosedbyC1 sothe

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