B) 2) Decide whether the following statements are true or false a) x-3 is a factor of f(x) if f(-3)=0b) The function yx²-1x-12x + 3c) The function y=-has point discontinuity at x = 1.has a vertical asymptote at x = -3.

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Answered: a) x-3 is a factor of f(x) if f(-3)-0…

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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All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/ B is a salesperson and C is a programmer 4/ B and C are both salesperson
4. Write each statement in symbolic form, and use truth tables to determine if they are logically equivalent: (define any variables you use) A: If you study hard and do all homework, then you will pass the class. B: If you study hard and did not pass the class, then you did not do all your homework.
A,B,C
2. Let p, q andr be the following statements: p: You run 10 laps daily. q: You are healthy. r: You take multi-vitamins. Translate the following into logical notation using p, q and r as logical connectives. a) You run 10 laps daily, you take multi-vitamins, and you are healthy. b) Either you are healthy or you do not run 10 laps daily, and you do not take multi-vitamins. c) If you do not run 10 laps daily or do not take multi-vitamins, then you will not be healthy.
Let p denote the statement "Florida borders Alabama", and let q denote thestatement "Florida borders Mississippi". Put the following into symbolic form:(i) Florida borders Alabama or Mississippi.(ii) Florida borders Alabama but not Mississippi.(iii) Florida borders Mississippi but not Alabama.(iv) Florida borders neither Alabama nor Mississippi.
5.) Draw a truth table based on the boolean expression: x = a·b · c (x = a nba c)

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a) x-3 is a factor of f(x) if f(-3)-0 b) The function y x²-1 x-1 2 x +3 c) The function y=- has point discontinuity at x = 1. has a vertical asymptote at x = -3.