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In the case of continuous least squares approximation, to find a degree 3 polynomial to approximate function in the interval a, b P3(a) = ao + a1æ + aza? + azz we have to solve a system of equations: 2) dz Sa f(z) da S a f(x) dz S f(x) da mo,0 mo,1 mo,2 mo,3 m1,0 m1,1 m1,2 m1,3 m2,0 m2,1 m2,2 m2,3 a2 m3,0 m3,1 m3,2 m3,3 a3 Suppose that a 0, b 2. What is the value of m3.3 =? O 81/4 O 128/7 O 2 O 31/5

In the case of continuous least squares approximation, to find a degree 3 polynomial to approximate function in the interval a, b P3(a) = ao + a1æ + aza? + azz we have to solve a system of equations: 2) dz Sa f(z) da S a f(x) dz S f(x) da mo,0 mo,1 mo,2 mo,3 m1,0 m1,1 m1,2 m1,3 m2,0 m2,1 m2,2 m2,3 a2 m3,0 m3,1 m3,2 m3,3 a3 Suppose that a 0, b 2. What is the value of m3.3 =? O 81/4 O 128/7 O 2 O 31/5

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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In the case of continuous least squares approximation, to find a degree 3 polynomial to approximate a continuous function in the interval (a, b P3(x) = ao + a1r + azx2 + azx3 we have to solve a system of equations: Si f(2) dze f(2) dz f(z) dz f(x) da mo,0 mo,1 mo,2 mo,3 ao m1,0 m1,1 m1,2 m1,3 m2,0 m2,1 m2,2 m2,3 a2 m3,0 m3,1 m3,2 m3,3 a3 Suppose that a= 0, b 2. What is the value of m3 3 =? O 81/4 O 128/7 O 2 O 31/5
Transcribed Image Text:In the case of continuous least squares approximation, to find a degree 3 polynomial to approximate a continuous function in the interval (a, b P3(x) = ao + a1r + azx2 + azx3 we have to solve a system of equations: Si f(2) dze f(2) dz f(z) dz f(x) da mo,0 mo,1 mo,2 mo,3 ao m1,0 m1,1 m1,2 m1,3 m2,0 m2,1 m2,2 m2,3 a2 m3,0 m3,1 m3,2 m3,3 a3 Suppose that a= 0, b 2. What is the value of m3 3 =? O 81/4 O 128/7 O 2 O 31/5
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