Purchase Solution

Operations with Complex Numbers

Not what you're looking for?

Ask Custom Question

1. Find the area bounded by the lines y=0, y=2 an y=sqrt(x)

2. Find the partial decomposition of:
x/(x^2+2x-3)

3. Find the critical points and the inflection points of the following function:
f(x) = x^4 - 4x^3 + 10

4. Simplify the following complex expressions, expressing each in the form (a + jb)
(i) (4+j|1)+(8+j6)
(ii) (10+j5)-(-2-j4)
(iii) (3-j4)(-5-j3)
(iv) (4-j7)(6+j3)
(v) (-1+j4)^2
(vi) (p+jq)^2

5. There are four complex numbers in polar form (see attached)
(i) Sketch each complex number on an Argand diagram
(ii) Convert z1, z2, z3, z4 to their rectangular forms.
(iii) Determine the dot products of z1, z3 and z2, z4 in their polar forms
(iv) Determine (z2(dot)z3)/(z1(dot)z4) in polar form

Attachments
Purchase this Solution

Solution Summary

This solution discusses operations with complex numbers and includes a sketch of complex numbers on Argand diagrams.

Solution provided by:
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
Recent Feedback
  • "Thank you "
  • "Thank You Chris this draft really helped me understand correlation."
  • "Thanks for the prompt return. Going into the last meeting tonight before submission. "
  • "Thank you for your promptness and great work. This will serve as a great guideline to assist with the completion of our project."
  • "Thanks for the product. It is an excellent guideline for the group. "
Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.