Let f : R → R periodical of period 2 such that f(x) = |x|, if x ∈ [−1, 1]. Table f(x) at the points xj = −2 + j, 0 ≤ j ≤ 4 and find a cubic spline at [−2, 2] of nodes xj , 0 ≤ j ≤ 4, S, which interpolates f and satisfies the periodicity conditions S'(−2) = S'(2) and S"(−2) = S"(2). Plot S on [−2, 2] and periodically “extend” S to R
Let f : R → R periodical of period 2 such that f(x) = |x|, if x ∈ [−1, 1]. Table f(x) at the points xj = −2 + j, 0 ≤ j ≤ 4 and find a cubic spline at [−2, 2] of nodes xj , 0 ≤ j ≤ 4, S, which interpolates f and satisfies the periodicity conditions S'(−2) = S'(2) and S"(−2) = S"(2). Plot S on [−2, 2] and periodically “extend” S to R
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let f : R → R periodical of period 2 such that f(x) = |x|, if x ∈ [−1, 1].
Table f(x) at the points xj = −2 + j, 0 ≤ j ≤ 4 and find a cubic spline at [−2, 2] of nodes xj , 0 ≤ j ≤ 4, S, which interpolates f and satisfies the periodicity conditions S'(−2) = S'(2) and S"(−2) = S"(2).
Plot S on [−2, 2] and periodically “extend” S to R
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