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We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/3. Calculate the three Lagrange polynomials, defined such that L(x₁) = Sik where dik is the Kronecker delta. Write your results in the form Lk(x) = ak where ak, be and C are integers. x 70 Xx + bk − + ck for k € {1,2,3}, ㅠ

We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/3. Calculate the three Lagrange polynomials, defined such that L(x₁) = Sik where dik is the Kronecker delta. Write your results in the form Lk(x) = ak where ak, be and C are integers. x 70 Xx + bk − + ck for k € {1,2,3}, ㅠ

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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We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/ π/3. Calculate the three Lagrange polynomials, defined such that L(xi) = dik where dik is the Kronecker delta. Write your results in the form 2 X ( ² ) ² + b ² / ² + bk = +ck for k € {1,2,3}, 70 ㅠ Lk (x): where ak, bk and C are integers. = ak
Transcribed Image Text:We want to calculate an approximation of cos(7/5), using polynomial interpolation through the three points x₁ = π/6, x₂ = π/4 and x3 = π/ π/3. Calculate the three Lagrange polynomials, defined such that L(xi) = dik where dik is the Kronecker delta. Write your results in the form 2 X ( ² ) ² + b ² / ² + bk = +ck for k € {1,2,3}, 70 ㅠ Lk (x): where ak, bk and C are integers. = ak
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