Questions. (20 pts.) a) Find the real part and imaginary part of the following complex numbers...
(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
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
Problem 5. (20 pts) Review of complex numbers. Find the values of the real numbers a and b such that the following is true: (a + j)(3-jb) = 7 + j Note: There are two possible values for a and b. Find them both. Hint: use quadratic equation.
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
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:
C++ Create a class called Complex for performing arithmetic with complex numbers. Write a program to test your class. Complex numbers have the form realPart + j imaginaryPart Use double variables to represent the private data of the class. Provide a constructor that enables an object of this class to be initialized when it is declared. The constructor should contain default values in case no initializers are provided. Provide public member functions that perform the following tasks: Adding two Complex...
10p Find complex numbers t = Z1 + Z2 and s-Z1-72, both in polar form, for each of the following pairs 3, b. Z1 3<30° and Z2 3-150
find the real and imaginary part(u and v) of the complex function lnz a) Find the real and imaginary parts (u and v) of the complex functions: - CZ Find out whether the functions in (a) satisfy the Cauchy-Riemann equations.
Create a class called Complex for performing arithmetic with complex numbers. Complex numbers have the form: realPart + imaginaryPart * i where i is √-1 Use double variables to represent the private data of the class. Provide a constructor that enables an object of this class to be initialized when it’s declared. The constructor should contain default values of (1,1) i.e. 1 for the real part and 1 for the imaginary part. Provide public member functions that perform the following...
C++ //add as many comments as possible 5. A complex number consists of two components: the real component and the imaginary component. An example of a complex number is 2+3i, where 2 is the real component and 3 is the imaginary component of the data. Define a class MyComplexClass. It has two data values of float type: real and imaginary This class has the following member functions A default constructor that assigns 0.0 to both its real and imaginary data...