{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MATH2107-polarcoordinate-exercises0(2)

# MATH2107-polarcoordinate-exercises0(2) - 2 iii x = 1(b...

This preview shows page 1. Sign up to view the full content.

MATH 2107 B Complex Numbers Exercises Winter 2008 1 1. Write the following in polar coordinate representation. (a) z = 3 2 + i 2 (b) z = 1 2 - i 2 (c) z = - 1 2 + i 3 2 (d) z = i (e) z = - 4 (f) z = - i (g) z = - 3 - i 2. Write z 2 ,z 12 ,z 100 ,z n in the form a + bi for each of the complex numbers in 1(a)-(g). 3. (a) Find the polar coordinate representation for i. z = - 1 2 + i 3 2 ii. w = - 1 2 - i
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 iii. x = 1 (b) Graph z, w, x on the same graph. What do you notice about z, w, x from the graph? (c) What is the product zwx ? (d) What are the roots of z 3-1 = 0? (e) Can you make an conclusions about the roots of z n-1 = 0 where n is a positive integer?...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern