3z2+z+1(a) Evaluate using Cauchy's integral formula .dz where C is(z²–1)(z+3)the circle |z| = 2.(b) Expand the following function in series form:1i. f (z) =for 1 < |z| < 3.(z-1)(z+3)4z-1ii. f(z) =z4-1about the point z = 0.

Cauchy integral theorem, evaluation of the integral

Answered: 3z2+z+1 (a) Evaluate using Cauchy's…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.

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3z2+z+1 (a) Evaluate using Cauchy's integral formula Sc dz where C is (z²-1)(z+3) the circle |z| = 2.