MATH135_F11_Assignment_9_Solns

# MATH135_F11_Assignment_9_Solns - 1 MATH 135 F 2011...

This preview shows pages 1–3. Sign up to view the full content.

1 MATH 135 F 2011: Assignment 9 Due: 8:30 AM, Wednesday, 2011 Nov. 30 in the dropboxes outside MC 4066 Write your answers in the space provided. If you wish to typeset your solutions, use the solution template posted on the course web site. Cite any proposition or definition you use. Family Name: First Name: I.D. Number: Section: Mark: (For the marker only.) If you used any references beyond the course text and lectures (such as other texts, discussions with colleagues or online resources), indicate this information in the space below. If you did not use any aids, state this in the space provided. 1. Let z = 3 + 4 i , u = 1 - 2 i and w = 3 i . Express each of the following in standard form. (a) z + 3 u - wi = (3 + 4 i ) + (3 - 6 i ) + (3) = 9 - 2 i (b) zu w = (3 + 4 i )(1 - 2 i )( - 3 i ) = (11 - 2 i )( - 3 i ) = - 6 - 33 i (c) z u = 3 + 4 i 1 - 2 i = 3 + 4 i 1 - 2 i · 1 + 2 i 1 + 2 i = - 5 + 10 i 5 = - 1 + 2 i

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 2. This question asks you to compute ( 3 + i ) 4 in two ways. Write your answer in standard form. (a) Use the Binomial Theorem. ( 3 + y ) 4 = 4 X r =0 4 r ( 3) 4 - r i r = 4 0 ( 3) 4 - 0 i 0 + 4 1 ( 3) 4 - 1 i 1 + 4 2 ( 3) 4 - 2 i 2 + 4 3 ( 3) 4 - 3 i 3 +
This is the end of the preview. Sign up to access the rest of the 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