Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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6:19 ll 4G 9 October Edit 9:28 pm Chapter Exercises Direction: Answer the following. Show all pertinent solutions. 1. If A = {1, 3, 5}, B = {3, 5, 6} and C = (1, 3, 7} %3D a. Verify that A U (BN C) = (A U B)n (A U C) b. Verify A n (B U C) = (A N B) U (ANC) 2. Let A = {a, b, d, e), B = {b, c, e, f) and C = (d, e, f, g} a. Verify An (BUC) = (A N B) U (AN C) b. Verify A u (BnC) = (A U B) n (A U C) 3. If A = {1, 3, 5} and B = {2, 3}, then %3D a. Find A x B b. BxA C. AxA d. Bx B 4. Let U = {1, 2,3, 4,5,6, 7, 8,9, 10} T = {2,4, 5,6,8,9} J = {1,3,5,7,9, 10} %3D Find the elements of: a. (J nT)xJ b. J'nT' 5. A survey of faculty and graduate students at the University of Florida's film school revealed the following information: 51 admire Moe, 49 admire Lary, 60 admire Curly, 34 admire Moe and Larry, 32 admire Larry and Curly, 36 admire Moe and Curly, 24 admire all three of the Stooges, and 1 admires none of the Three Stooges. a. How many people were surveyed? b. How many admire Curly, but not Larry nor Moe? c. How many admire Larry or Curly? d. How many admire exactly one of the Stooges? e. How many admire exactly two of the Stooges? 6. An advertising agency finds that, of its 170 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines, 70 use all the three. Draw Venn diagram to represent these data. Find a. how many uses only Radio? b. how many uses only Television? C. how many use Television and Magazine but not radio? 31 ying single until o never takes yo 1 e n y understands y rustrations Twitter for Pone 5442 Les
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Transcribed Image Text:6:19 ll 4G 9 October Edit 9:28 pm Chapter Exercises Direction: Answer the following. Show all pertinent solutions. 1. If A = {1, 3, 5}, B = {3, 5, 6} and C = (1, 3, 7} %3D a. Verify that A U (BN C) = (A U B)n (A U C) b. Verify A n (B U C) = (A N B) U (ANC) 2. Let A = {a, b, d, e), B = {b, c, e, f) and C = (d, e, f, g} a. Verify An (BUC) = (A N B) U (AN C) b. Verify A u (BnC) = (A U B) n (A U C) 3. If A = {1, 3, 5} and B = {2, 3}, then %3D a. Find A x B b. BxA C. AxA d. Bx B 4. Let U = {1, 2,3, 4,5,6, 7, 8,9, 10} T = {2,4, 5,6,8,9} J = {1,3,5,7,9, 10} %3D Find the elements of: a. (J nT)xJ b. J'nT' 5. A survey of faculty and graduate students at the University of Florida's film school revealed the following information: 51 admire Moe, 49 admire Lary, 60 admire Curly, 34 admire Moe and Larry, 32 admire Larry and Curly, 36 admire Moe and Curly, 24 admire all three of the Stooges, and 1 admires none of the Three Stooges. a. How many people were surveyed? b. How many admire Curly, but not Larry nor Moe? c. How many admire Larry or Curly? d. How many admire exactly one of the Stooges? e. How many admire exactly two of the Stooges? 6. An advertising agency finds that, of its 170 clients, 115 use Television, 110 use Radio and 130 use Magazines. Also 85 use Television and Magazines, 75 use Television and Radio, 95 use Radio and Magazines, 70 use all the three. Draw Venn diagram to represent these data. Find a. how many uses only Radio? b. how many uses only Television? C. how many use Television and Magazine but not radio? 31 ying single until o never takes yo 1 e n y understands y rustrations Twitter for Pone 5442 Les
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