Please help me with this problem clearly and with step by step explanation please.. NEEDED BOTH PLEASE 1. Suppose that AU B = A. Prove that BC A.Show that AU (An B) = A.(Hint: to prove one of the inclusions, you will need to do something with an x € AU (An B). Atthat point, try splitting your proof into cases depending on which part of the union r comes from.)

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Answered: 1. Suppose that AUB = A. Prove that B…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For each problem, show all work and explain your reasoning.(a) Does the overall configuration consider the order of the individual pieces of the configuration?(b) Count the number of different configurations for the prompt.1. Passwords of length seven containing distinct letters consisting of uppercase English lettersand/or lowercase English letters2. Committees consisting of four folks formed from the 11 Math faculty members3. Usernames of length six consisting of uppercase English letters, lowercase English letters,and/or numbers from 0–94. Election results from 6 Math 150 students for course president, vice president, and treasurer5. Phone numbers containing only odd numbers6. Social security numbers containing neither 8’s nor 9’s7. Ice cream sundaes consisting of three distinct flavors taken from ten total flavors8. Handfuls of five Skittles consisting of only “warm” colors from a jar containing 8 red, 11green, 7 yellow, 12 purple, and 13 orange9. Possible rolls from fair 6-sided,…
The cost C and the revenue R for a brokerage firm depend on the number T of transactions executed. (Both C and R are measured in dollars.) It costs $710 per day to keep the office open, and brokers are paid an average of $24 per transaction. Also, $34 in fees are collected for each transaction.
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1. Suppose that AUB = A. Prove that B CA. 2. Show that AU(An B) = A.