6- Consider the following finite difference approximationUij+1-UijE (ui+1,j - 2uij + u;-1,j) + c u;,j.kwhere c is a constant. This finite difference approximation is stable forс кa) rs+b)rs+c) rs+4с к1с кd) None of the above is true.

Answered: Image /qna-images/answer/325d3415-5b66-4ebf-a700-733a3ec9874f.jpg

Answered: 6- Consider the following finite…

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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Determine whether (p→q)^r is equivalent to p(q^r). To get full credit on this question, you must show your work AND give an answer stating that the tables are equivalent or not equivalent. Consider a "1" to be true and a "0" to be false. p✈q p➜(q^r) Р 1 1 1 1 0 0 0 0 9 1 1 0 0 1 1 0 0 Are the two statements equivalent? r 1 0 1 0 1 0 1 0 (p→q)^r (q^r)
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Writing and Proof:
2.4. If a7 on [a, b], prove that we have а) f da = f da + f da, (a < c < b), (S + g) da < | f da + g da, Tu+ 9) dz z c) | s f da + 9 da.
Students are asked to prove the following statement: Theorem: A - (BNC) = (A − B)~ (A − C). One student provides the following proof: Disproof: Note that A (BNC) = An (BC) = An (BCUCC) = (ANB) U (ANC) = (A - B) U (AC) (A - B) n(A - C) ● by set difference law by DeMorgan's law by distributive law by set difference law Is the student's proof correct? If the student is correct, then fill in the needed to • make the proof completely correct • make sure each assertion made is fully justified • make the proof written in such a way that a student in the class could follow the logic and be fully convinced that the theorem is true. If the student is incorrect, then • Identify any errors in the proof above. Explain each error. Your explanation should be written to the student who made the error, and should try to help the student understand why what they wrote is incorrect.
a) The mean camber line of an aerofoil is defined by the relations: X X 17²7 ( 29 - *) * 2 * ² 2 q с C с Zc m C Zc C m (1-q)² ≤q, X (1-9)²-( \ / -9 9 C Given that, c is the aerofoil chord, m = 0.025, q = 0.45, and using thin aerofoil theory estimate:
Q7 : find the argument of 1-V3j 1+/-1 2) V3-j)° 1

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6- Consider the following finite difference approximation Uij+1¬Uij (ui+1.j - 2uij + Uj-1,j) + c u;j. k where c is a constant. This finite difference approximation is stable for ck a) rs+뜨 ck b)rs+을 3 c) rs+ ck d) None of the above is true.