Question 6(a,b and c) and 7

2HU ' \\ ' ' i J " - . v _ 6. For each of the following statements, if it is true prove it, and if it is false give a counter example. . (a) 12:3, (2%0); /\\_ "\" z p (b) arg(z + E) = 0; 640% (e904 (c) e" = cos(29 + 1)2 + isin(20 + 1)2 . 7. Find all fth roots of z = 16\\/ 15\\/i. Write the roots in exponential form and use principal value of their arguments. /