The table below shows the temperature data of the 4th weather station. Answer the following questions using the data. T 7 14 21 28 Temp 72 75 72 74 1. Find the cubic spline interpolation S(x) for 4th weather station by finding out the values for the a, b, c, d coefficients and the interval endpoints in the formulas below. So(x) + (x – 7) + (x – 7)2 + (x – 7)3 x € [ , ] - S1 (x) = (x – 14) + (т — 14)? + (x – 14)* x € [ , ] S2(x) = (т — 21) + (x – 21)² + (x – 21)³ x € [ , ] +

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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The table below shows the temperature data of the 4th weather station. Answer the
following questions using the data.
T
7
14
21
28
Temp 72
75
72
74
Find the cubic spline interpolation S(x) for 4th weather station by
finding out the values for the a, b, c, d coefficients and the interval endpoints in
1.
the formulas below.
So(x) =
(x – 7) +
(x – 7)² +
(x – 7)3
x € [ , ]
S: (x) =
(x – 14) +
(x – 14)² +
(x – 14)* x € [ , ]
S2(x) =
(т — 21) +
(x – 21)2 +
(x – 21)3 r E[ , ]
Transcribed Image Text:The table below shows the temperature data of the 4th weather station. Answer the following questions using the data. T 7 14 21 28 Temp 72 75 72 74 Find the cubic spline interpolation S(x) for 4th weather station by finding out the values for the a, b, c, d coefficients and the interval endpoints in 1. the formulas below. So(x) = (x – 7) + (x – 7)² + (x – 7)3 x € [ , ] S: (x) = (x – 14) + (x – 14)² + (x – 14)* x € [ , ] S2(x) = (т — 21) + (x – 21)2 + (x – 21)3 r E[ , ]
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