3. Find the constants bo, co, a1, b1, C₁ so that So(x)=1+ box + cox² + x³, S(x) = { S₁(x) = a₁ - 2x + ₁x² +d₁x³, if a € (-1,0] if x = [0, 2] is a natural cubic spline which interpolates the points (-1,3), (0, -1) and (2,3).

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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3.
Find the constants bo, co, a1, b₁, C₁ so that
S(x) = { S(x) = 1 + box + co₂² +2³3;
€ [-1,0]
= [0,2]
€
= a₁ - 2x + ₁x² +d₁2³,
if x
is a natural cubic spline which interpolates the points (-1,3), (0, -1) and (2, 3).
if
Transcribed Image Text:3. Find the constants bo, co, a1, b₁, C₁ so that S(x) = { S(x) = 1 + box + co₂² +2³3; € [-1,0] = [0,2] € = a₁ - 2x + ₁x² +d₁2³, if x is a natural cubic spline which interpolates the points (-1,3), (0, -1) and (2, 3). if
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