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Problem 20. For the four points b=0,8,8,20 and t=0,1,3,4, we want to find the closest parabola b=C+ Dt +Et². Write the equations Ax=b in the three unknowns x = (C,D,E). Set up the three normal equations ATA-ATb. You do not need to solve the system.

Problem 20. For the four points b=0,8,8,20 and t=0,1,3,4, we want to find the closest parabola b=C+ Dt +Et². Write the equations Ax=b in the three unknowns x = (C,D,E). Set up the three normal equations ATA-ATb. You do not need to solve the system.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem 20.** For the four points \( b = 0, 8, 8, 20 \) and \( t = 0, 1, 3, 4 \), we want to find the closest parabola \( b = C + Dt + Et^2 \). Write the equations \( Ax = b \) in the three unknowns \( x = (C, D, E) \). Set up the three normal equations \( A^TA\hat{x} = A^Tb \). You do not need to solve the system.
Transcribed Image Text:**Problem 20.** For the four points \( b = 0, 8, 8, 20 \) and \( t = 0, 1, 3, 4 \), we want to find the closest parabola \( b = C + Dt + Et^2 \). Write the equations \( Ax = b \) in the three unknowns \( x = (C, D, E) \). Set up the three normal equations \( A^TA\hat{x} = A^Tb \). You do not need to solve the system.
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