Find the real and imaginary parts of the following (a) 3 /2 (b)c- (c) e3+12 (d)e-0-)...
(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
Real and Imaginary parts. 2. [10 marks Find all solutions to the equations 2 a) (b) e1. (24-1)sin(7T2) 0.
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
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
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)
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
Need help for part(b) thx :) Question 1: Find the real and imaginary parts, u and y, and the natural domain of (a) f(2)=z + (6) 9(2) = cc-*
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
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
could use some help on these, will rate! Find the real and imaginary parts of (2ei)' b) z= (2+3i)3 Problem 1.29 a) z= Problem 1.25 Light from a helium-neon laser has a wavelength of 633 nm and a wave speed of 3.00 x 10 m/s. Find the frequency, period, angular frequency, and wave number for this light.