Algebra Lab and quiz

Algebra lab and Quiz. Can do quiz on sunday

MA1310: Week 6 Polar Coordinates and Complex Numbers

This lab requires you to:

· Plot points in the polar coordinate system.

· Find multiple sets of polar coordinates for a given system.

· Convert a point from polar to rectangular coordinates.

· Convert a point from rectangular to polar coordinates.

· Plot complex numbers in the complex plane.

· Find the absolute value of a complex number.

· Write complex numbers in polar form.

· Convert a complex number from polar form to rectangular form.

· Find products of complex numbers in polar form.

· Find quotients of complex numbers in polar form.

· Find powers of complex numbers in polar form (DeMoivre’s Theorem).

Answer the following questions to complete this lab:

1.

Explain why and represent the same points in polar coordinates.
2.
Match the point in polar coordinates with either A, B, C, or D on the graph.

3.
Find the rectangular coordinates of the polar point.
4. Find the polar coordinates of the rectangular point (–4, –4).

5.
Plot the complex number.
a.
b.
c.
d.

6. Find the absolute value of the complex number z = 2 + 5i.
7.
Write the complex number z = 2 – 2i in polar form. Express in degrees.

8.
Write the complex number in rectangular form.
9. Use DeMoivre’s Theorem to find the indicated power of the complex number. Write answer in rectangular form.

Submission Requirements: Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and submit the paper. Name the file as InitialName_LastName_Lab6.1_Date.
Evaluation Criteria:
· Did you show the appropriate steps to solve the given problems?
· Did you support your answers with appropriate rationale wherever applicable?
· Were the answers submitted in an organized fashion that was legible and easy to follow?
· Were the answers correct?
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