Answered: (b) - (1) Verify that the function g:…

(b) - (1) Verify that the function g: C+C given by 8(2) = 22+1 satisfies the Cauchy-Riemann equations. (ii) Determine whether the function h:C →C given by 1 (z- ) h(2) = (2 - 2) is differentiable.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)

Problem 29E

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Question

(b) -
(1)
Verify that the function g: C+C given by
8(2) = 22+1
satisfies the Cauchy-Riemann equations.
(ii)
Determine whether the function h:C →C given by
1
h(2) = (2 - 2)
is differentiable.

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