7. a-e h odd integer.e. b: If n is divisible by 30, then it is divisible by 2, 3, and7. Construct the truth table for the following propositions:a. (~pvq) →~q9b. (p^~q) →rc. (p^~q) → (qVr)d. ~pv (q→r)e. [(pvq) v (~p^q) →r8. Construct the truth table for the following propositions:

7. The given propositions, a) ~p∨q→~q b) p∧~q→r c) p∧~q↔q∨r d) ~p∨q→r e) p∨q∨~p∧q→r We have to find…

Answered: 7. Construct the truth table for the…

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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12. Which number is the greatest? В. -5 C. V25 D. 4.16... A. 13. Which is in order from least to greatest? A. V4, 2.33..., 0, -2, 2 B. 2.33..., V4, 2 0, -2 C. -2, 0, V4, 2.33... D. V4, 0, , 2.33..., -2 4 14. Which list shows the numbers in decreasing order? A. V4, 2.33..., 0, -2,- B. 2.33..., V4, 0, -2 C. -2, 0, V4, 2.33... D. V4, 0, 2, 2.33..., -2 15. Which of the following best represents the arranger V9, -1, on the number line? A. -3 -2 -1 2. 3. B. + -2 -1 1. 3. C. -3 -2 -1 1 2. D.
25. E(2* + 2) k=2
8. Va3b12с 3.
An orthogonal basis for the column space of matrix A is {v,, vɔ, V3. Use this orthogonal basis to find a QR factorization of matrix A. Q=R=D (Type exact answers, using radicals as needed.)
Only answer the last two questions: A group of 62 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricot, bananas, and cantaloupes. 34 liked apricots 30 liked bananas 33 liked cantaloupes 11 liked apricots and bananas 15 liked bananas and cantaloupes 17 liked apricots and cantaloupes 19 liked exactly two of the fruits How many students liked: a. bananas or apricots? Answer: 53 b. apricots and bananas but not cantaloupes? Answer: 3 c. cantaloupes or apricots but not bananas? Answer: 33 d. at least two of the fruits? _______ e. at most two of the fruits? ________Note: show the detailed and clear solution
12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
b (x, n, 1-p) =
13
10. (2,4)-5 11 m 13. 1 2 m 9a*bc* 16. 15ab'c 3 5 3/-
3.66 3 (еУ — е-У)
8. 10. 5 •y+//102 2-3 +2 12 y = ²/ when y when x = 11

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7. Construct the truth table for the following propositions: a. (~pvq) →~q b. (p^~q) →r c. (p^~q) → (q Vr) d. ~pv (q⇒r) e. [(pvq) v (~p^q) →r tanego (bar-ton