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Numerical Analysis Explain how to find the values of f(xi)

Numerical Analysis Explain how to find the values of f(xi)

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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Numerical Analysis

Explain how to find the values of f(xi)

"The trigonometric pdy" of degree 2 is √₂₂(x) = a₁ + a₁ cos(x) + b₁ siń (x) + A₂ Cos(2x). Using 6 data points x, xs implies 5=2m-1 = m = 3. from the theorem, Mherefore ·a a₁ = 11. 11 3 aj;= = = y₁ cast joc ;) 3 b; = / 2 y, sinń (jx;) ・f(x) = 3x² +1 f(x₂) cas (0.x₂) w/-. ㅎ -100 Σ i=o 22.8858. ㅎ = if (³6) Į { f(x(i) cos(x(;) 3. = -13.1595... Q₂ = 2 f (x₁) cos(2x) i=₁ 4. 38649....
Transcribed Image Text:"The trigonometric pdy" of degree 2 is √₂₂(x) = a₁ + a₁ cos(x) + b₁ siń (x) + A₂ Cos(2x). Using 6 data points x, xs implies 5=2m-1 = m = 3. from the theorem, Mherefore ·a a₁ = 11. 11 3 aj;= = = y₁ cast joc ;) 3 b; = / 2 y, sinń (jx;) ・f(x) = 3x² +1 f(x₂) cas (0.x₂) w/-. ㅎ -100 Σ i=o 22.8858. ㅎ = if (³6) Į { f(x(i) cos(x(;) 3. = -13.1595... Q₂ = 2 f (x₁) cos(2x) i=₁ 4. 38649....
& Find the brigonometric pdynomial of degree 2 minimising the discrete least squares problem for f(x) = 3x² + 1 on En using 6 data points x; Since we choose here to equally space. points, they are at x; -- + z n? = 3 -12-22 -5, 0, 등, 끝 X3 x4 x5 xo x₂ xi
Transcribed Image Text:& Find the brigonometric pdynomial of degree 2 minimising the discrete least squares problem for f(x) = 3x² + 1 on En using 6 data points x; Since we choose here to equally space. points, they are at x; -- + z n? = 3 -12-22 -5, 0, 등, 끝 X3 x4 x5 xo x₂ xi
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