(10 pts) Calculate the following a) Find the real and imaginary parts of e 3+nj b)...
I 5) (10 pts) Calculate the following a) Find the real and imaginary parts of e8**) b) Find the real and imaginary parts of c) Write in polar form: 1+1
(10 pts) Calculate the following a) Find therealand imaginaryparts of et nj b) Find therealand imaginary parts of est c) Writeinpolarform 1 +j
Find the real and imaginary parts of the following (a) 3 /2 (b)c- (c) e3+12 (d)e-0-) (e)j
Questions. (20 pts.) a) Find the real part and imaginary part of the following complex numbers 1. jel- 2. (1 - 0260 3. b) Find polar form of the following numbers 31-3 9 Question 2. (20 pts.) a) Simplify (2< (5/7) (2<(")) 2 < (-1/6) b) Solve z+ + Z2 + 1 = 0
QUESTION 1 (50 marks total) (-5j) - j(j+3) (j-2)' a) Find the real and imaginary parts of complex number z = |4j-31 Present this number in both polar and exponential forms. Show it on the Argand diagram. (20 marks)
3) (10 pts) For f(2)= a) Find the real part (0) b) Find the imaginary part (V) c) Use u and v to evaluate f (x)at z = 9 - 61
Q4: 3 marks each part Answer 2 parts from the following (a) Find the real and imaginary parts of each side of 1+a ei + az ezi® + ... = (1 - a el®)-1 (b) 2 Show that sin z cosh 2y-cos 2x (C) 1 Find the residues of at all its poles. e2z-ez
Real and Imaginary parts.
2. [10 marks Find all solutions to the equations 2 a) (b) e1. (24-1)sin(7T2) 0.
Convert the following expressions to rectangular form and list the real and imaginary parts separately for each expression: A). je-j3π/4 B.) e-jπ/6
(10 ptsFor f(3) = 3+1 a) Find the real part (u) b) Find the imaginary part (v) c) Use u and v to evaluate f(2)atz = 9 - 6