TT 37 2 (a) Find ALL roots of (8i)1/3 (b) Consider the two arcs of the unit circle (note that CiU C2 form the boundary o
Posted: Thu May 12, 2022 8:18 am
TT 37 2 (a) Find ALL roots of (8i)1/3 (b) Consider the two arcs of the unit circle (note that CiU C2 form the boundary of the unit circle): Ci:-<O<T C2: 7 <O<3 Perform the following 4 integrals: i. Sc, dz/z ii. Sc, dz/z iii. fizl=1 dz/z iv. $zl=1 zdz v. Explain how the 4 integrals are related by the Cauchy-Goursat theorem. (c) Compute the integral: dz |=100 23 22 z +1 (d) (-1 – V3i) -2 = u + iv. Find u and v.