I 5) (10 pts) Calculate the following a) Find the real and imaginary parts of e8**)...
(10 pts) Calculate the following a) Find the real and imaginary parts of e 3+nj b) Find the real and imaginary parts of ez? c) Write in polar form: 1+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
(10 pts) Calculate the following a) Find therealand imaginaryparts of et nj b) Find therealand imaginary parts of est c) Writeinpolarform 1 +j
Real and Imaginary parts.
2. [10 marks Find all solutions to the equations 2 a) (b) e1. (24-1)sin(7T2) 0.
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
please show how to complete question 4&5. thank you.
4. Find polar form of the following complex numbers: i-1, 2i+2, sin(3/7) + i cos(31/7), cos(28/7) - i sin(2/7). 5. Let a = cos(3) + i sin(*), b = cos(5) + i sin(5). Find polar form for ab, a/b. Find real and imaginary parts of a" and 649
Express the real and imaginary parts of the following numbers in terms of the real andimaginary parts of u and ε, where the notation is μ=μ'+jμ", ε=ε' +jε'' (ω, μ', μ'', ε', ε"∈R), for
Find the real and imaginary parts of the following (a) 3 /2 (b)c- (c) e3+12 (d)e-0-) (e)j
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
15 pts] Problem 10. 5 pts) (i) Give the formula in polar coordinates for the branch of -1/2 that is defined in the complement of the negative imaginary axis including the origin, so that (-1)-12-i. Using that branch, describe the largest domain in which the function 1/2 is analytic.
15 pts] Problem 10. 5 pts) (i) Give the formula in polar coordinates for the branch of -1/2 that is defined in the complement of the negative imaginary axis including the...