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: 1 i. f (z) = for 1

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

Extracted text: 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: 1 i. f (z) = for 1 < |z|="">< 3.="" (z-1)(z+3)="" 4z-1="" ii.="" f(z)="z4-1" about="" the="" point="" z="">

Jun 05, 2022

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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: 1 i. f (z) = for 1

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