Math 55,First Midterm ExamThursday, February 26, 8:10am–9:30amThis exam is closed book. You may not use any books, notesor electronic devices. Please write your answers in a blue notebook. Write your name, the name of your TA and your sectiontime on the cover.There are five problems, each worth20points, for a total of100points. Answers without justificationwill not receive credit. You may look at your graded exam inyour discussion section on Monday, March 2.(1) The value of the Eulerφ-function at a positive integernis the number of positive integers less than or equal tonthat are relatively prime ton. Compute the following fourvalues of this function:φ(36),φ(37),φ(81) andφ(1024).(2) Determine the truth value of each of these statement if the
This is the end of the preview.
access the rest of the document.
TA, Natural number, Prime number, positive integer