Quiz9solutions - MAC1105 Quiz#9 Solutions In the top-right...

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAC1105: Quiz #9 Solutions July 12, 2010 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are nished, FOLD your paper in half lengthwise and write your name on the back. 1. For each of the following complex numbers, write in standard form (simply rewrite it if it already is in standard form). If a number is not complex, write not complex: (a) (b) 5i Already in standard form. -(i - 2) = -i + 2 = 2 - i 1+i 3 (c) 0 Already in standard form. (d) = 1 3 + 1i 3 2. Simplify: 1 Write as 57 rst. Now, 57 4 leaves a remainder of 1, so i 1 -1 = i-1 i4 = i3 = -i. i1 = i 318777459186104386922 (b) i As discussed in class, we need only look at the 318777459186104386922 last two digits. 22 4 has a remainder of 2, so i = 2 i = -1. (a) 3. Perform the following operations, and write your answer in standard form: (a) (b) (c) i-57 . 1 i57 = (1 + 2i) - (3 - 4i) = 1 - 3 + 2i - (-4i) = -2 + 6i (5 + i) (2 - 3i) = 10 - 15i + 2i - 3i2 = 10 - 13i + 3 = 13 - 13i 1-i 2 + 3i (1 - i) (2 - 3i) 2 - 3i - 2i + 3i2 -1 - 5i -1 5 = = = - i (2 + 3i) (2 - 3i) 22 - (3i)2 4+9 13 13 1 ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern