MATH 308 Study Guide - Midterm Guide: Joule, Unit Disk, Centroid
Document Summary
Unless it is otherwise speci ed, answers may be left in calculator-ready form, where calculator means basic scienti c calculator. Show all your work, little or no credit will be given for a numerical answer without the correct accompanying work. If you need more space than the space provided, use the back of the previous page. Where boxes are provided for answers, put your nal answers in them. 2. (a) write the complex number 5e 3 i/4 in the form x + iy: Answer: (b) give all complex solutions z to the equation z 2 = 1 i. (you may write your answers in polar form or the form x + iy. ) [3] (a) for any two vectors x and y in rn we have |x| + |y | |x y |. [3] (b) in any triangle, the centroid, circumcentre, and orthocentre are collinear.
