MA2311 ON: Online Calculus 1 Project 1: Complex Numbers Directions: Each problem is worth 10 points. Each student is responsible for completing their own work. You are being graded on The solutions and answers that you provide for the following problems (simply providing answers is not sufficient to receive full credit), The neatness of your work - Your solutions need to be written in logical order and they must be readable by me, The problems need to be completed in the order they are assigned, Your solutions must be uploaded to the dropbox in the correct format and your files must be named correctly. Failure to meet any of the above criteria will result in a loss of points. Format: You may hand write your solutions to the problems, scan them as pdf's (do not upload pictures of your work), and upload them to the dropbox. If you upload multiple files, number the files in the order in which the problems are completed. You also have the option of typing your solutions. If you choose this option ensure that your uploaded file is either a pdf or a word document. Naming of File: Each student's uploaded file(s) should be named as: FirstNameLastName Project1. If you upload multiple files number them in the order in which you want me to read them as: FirstNameLastName Project1 1, FirstNameLastName Project1 2, . . .. As an example, if I were uploading three files they would be named as ErikSweet Project1 1.pdf, ErikSweet Project1 2.pdf, ErikSweet Project1 3.pdf 1 1) Perform the indicated operations and write your answer using Euler's Formula. Round your solution to three decimal places. (2 + j)(1 j)3 ( 3 + j)2 2) Perform the indicated operation and write your result using Phasor Notation. z = 3e2 j \u0001\u0010 5e 2 3 j \u0011 3) Perform the indicated operation and write your result using both Euler's Formula and Phasor Notation. \u0010 \u00113 z = 1 3 j 4) Find all of the exact solutions to the equation 2x5 + 12 j = 2 Write your answers using both Euler's Formula and Phasor Notation. 5) Find all of the sixth roots of 1. Write exact answers in Trigonometric Form. 6) Find all of the exact solutions to the equation x4 j = 2 Write your answers using both Euler's Formula and Phasor Notation. 2