MATH18584 Fundamentals of Computer Mathematics Assignment 2 . This assignment will be graded out of 40 This assignment is to be completed individually. Assignments copied in whole or in part will receive a grade of ZERO. You must show your work for full marks! . Due Date: October 20, 2021 Answers must be submitted as a PDF to the Assignment dropbox. 1. Given the following truth table, find the corresponding Boolean expression F. A B C F 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 10 0 0 1 0 1 0 1 1 1 1 . Sketch the Karnaugh Map for this function. (2 marks) . Using the Karnaugh Map, get the simplest sum-of-products form for this function. Show your full work (circling the necessary 1's). (3 marks) Draw the circuit diagram. (2 marks)2. Let U = {0.1,2,3.4.5,6,7.8,9,10}, A = { 0, 2, 4, 6, 8. 10}, B: { 0, 1. 2, 3, 4, 5, 6} and C = {4. 5, 6, 7. 8, 9, 10} Evaluate and show all your work. (2 marks each) a. [AUC]' b. A'nB' c A-B 3. There are 910 employees at BinHex Inc. Of these, 610 are female. 340 are under 35 years old, 480 are single, 290 are single females. 180 are singles under 35 years old. 190 are females under 35 years old, and 120 are single females under 35 years old. Use a Venn diagram to determine how many employees are married males who are at least 35 years old. Illustrate with a Venn Diagram. ***You must show your work. (6 marks) 4. State the domain and range for the following relation, and state if it is a function. (2 marks each) a. {(-6,3), (-5,-2), (-3,0), (-1.3), (0,2)} Domain: Range: Function? b. {(-2,3), (0,3), (1,1), (-2.6), (3,5)} Domain: Range: Function? 5. Determine the domain and range of each of the following function. (2 marks each) a. y=V 4x+3 6. The Deep Blue Telephone Co. charges aat monthly fee of $42 for a telephone line and $0.42 per minute for long distance calls. a. Write an equation that will relate the total cost per month, C, to the number of minutes, m, of long distance calls that you make. (2 marks) b. If you make 42 minutes of long distance calls per month, what will it cost? (1 mark) 7. Alice knows a phone call to a friend costs 42 cents for the first 3 minutes and 5 cents for each additional minute. The number of minutes (m) you call and the cost (C) of the call are related. Express the following relation as a function. (2 marks) 8. List the fist four terms of the following sequence, beginning with n=0. (2 marks) A=_ (n+1)! 9. Evaluate the following summation: (2 marks each) a. [ (-1 )2+1 ( 2n ) b. 2n-5 n=10 c. [3(-2)'