2 (a) Find ALL roots of (81)/3 (b) Consider the two arcs of the unit circle (note that C, UC, form the boundary of the u

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2 A Find All Roots Of 81 3 B Consider The Two Arcs Of The Unit Circle Note That C Uc Form The Boundary Of The U 1 (31.41 KiB) Viewed 20 times

2 (a) Find ALL roots of (81)/3 (b) Consider the two arcs of the unit circle (note that C, UC, form the boundary of the unit circle): Ci:-SOST C: <O<3 Perform the following 4 integrals: i. Sc dz/2 ii. Sc, dz/z iii. fizi=1 dz/z iv. $z=1 zdz v. Explain how the 4 integrals are related by the Cauchy-Goursat theorem. (c) Compute the integral: dz fo-100 22 – 24-2+1 (d) (-1-31)-2 = u+iv. Find u and v.