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
Posted: Thu May 12, 2022 10:36 am
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.