MATH135 Chapter 10: MATH135_F13_Assignment_10Solns

• School: University of Waterloo
• Department: Mathematics
• Course: MATH135
• Professor: Robert Hill

Document Summary

Due: 8:30 am, wed. , 2013 nov. 27 in the dropboxes outside mc 4066. 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. This assignment will test your understanding of the following: properties of complex numbers, graphical representation of complex numbers, de moivre"s theorem, complex nth root theorem. Recall that for math 135, we are using the notation to denote the set of complex numbers. A complex number z is written in its standard form as x + iy, where x and y are real numbers. C = nx + iy : x, y r, i2 = ( 1)o. Mark: (/30) (for the marker only. : simplify z = (1+3i)2+(5 i) (1+i) and express the complex number in its standard form. = 3 + 3i + 5i 5i2.