1 Find the real part of (a+b2T a 6, b=10. 5 pts Question 2 What is...
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
1. if the real part of an analytic function, f(z), is given find the imaginary part, v(x, y) and f(z) as a function of x. (step by step) 2. Evaluate the following complex integral (step by step) 1. If the real part of an analytic function, f(z), is given as 2 - 12 (x2 + y2)2 find the imaginary part, v(x,y), and f(z) as a function of z. 2. Evaluate the following complex integral:
Can you help me with this question please? (5) (7.5 pts) Show that a complex-valued function f(r) is real-valued if and only if its Fourier coefficients An satisfy the conjugacy condition A-n-An. (5) (7.5 pts) Show that a complex-valued function f(r) is real-valued if and only if its Fourier coefficients An satisfy the conjugacy condition A-n-An.
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 5 [15 marks] The complex numbers z and w are such that w = 1 + a, z =-b-, where a and b are real and positive. Given that wz 3-4, find the exact values of a and b. [7 marks] The complex numbers z and w are such that lz|-2, arg (z)--2T, lwl = 5, arg(w) = 4T. Find the exact values of i. The real part of z and the imaginary part of z ii. The modulus...
(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
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-*
Question 5 Find the principle argument of z=7+-4i Question 6 Compute the imaginary part of (5+-11)^9 Question 7 Compute the real part of (-9+71)3
Problem 32: (20 points) Consider a periodic signal f(t), with fundamental period To, that has the exponential Fourier series representation f(t) = Σ Dnejuont . where wo 2T/To and 1. (2 points) When f(t) is a real-valued, show that DD This is known as the complex conjugate symmetry property or the Hermitian property of real signals. 2. (2 points) Show that when f(t) is an even function of time that Dn is an even function of n 3. (2 points)...