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Q1: If fo=1, f₁ = 11, A) 2 B) -1 f₂ = 21, f3=28, f4 = 29 then Afo = C) 0 D) 3 Q2: If the positive root of the equation f(x) = ax²+x-1 is calculated using the fixed point method as follows xn+1 =1-ax, the convergence condition for a at x = 2 is A) a

Q1: If fo=1, f₁ = 11, A) 2 B) -1 f₂ = 21, f3=28, f4 = 29 then Afo = C) 0 D) 3 Q2: If the positive root of the equation f(x) = ax²+x-1 is calculated using the fixed point method as follows xn+1 =1-ax, the convergence condition for a at x = 2 is A) a

Advanced Engineering Mathematics
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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Q1: If fo=1, f₁ = 11, A) 2 B) -1 f₂ = 21, f3=28, f4 = 29 then Afo = C) 0 D) 3 Q2: If the positive root of the equation f(x) = ax²+x-1 is calculated using the fixed point method as follows xn+1 =1-ax, the convergence condition for a at x = 2 is A) a <B) a< C) a < D) a < Q3: The fixed points for g(x) = A) -1.3 and 2.3 is B) 2.3 and -1.5 C) 1.5 and -2.3 D) 3 and 1 Q4: f(3) by Lagrange formula A) 11 B) 10.5 x012 456 f 1 14 15 569 C) 10 D) 11.5 is Q5: If f(1) = 0.25, f(2) = 1, f(3) = 2.25, f(4) = 4 by using Gauss formula, the value f(1.6) is A) 0.66 B) 0.65 C) 0.64 D) 0.67
Transcribed Image Text:Q1: If fo=1, f₁ = 11, A) 2 B) -1 f₂ = 21, f3=28, f4 = 29 then Afo = C) 0 D) 3 Q2: If the positive root of the equation f(x) = ax²+x-1 is calculated using the fixed point method as follows xn+1 =1-ax, the convergence condition for a at x = 2 is A) a <B) a< C) a < D) a < Q3: The fixed points for g(x) = A) -1.3 and 2.3 is B) 2.3 and -1.5 C) 1.5 and -2.3 D) 3 and 1 Q4: f(3) by Lagrange formula A) 11 B) 10.5 x012 456 f 1 14 15 569 C) 10 D) 11.5 is Q5: If f(1) = 0.25, f(2) = 1, f(3) = 2.25, f(4) = 4 by using Gauss formula, the value f(1.6) is A) 0.66 B) 0.65 C) 0.64 D) 0.67
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