3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function (D(x) = 1.1x3 – 9x2 + 1) for -1
3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function (D(x) = 1.1x3 – 9x2 + 1) for -1
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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![3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function
(D(x) = 1.1x3 – 9x2 + 1) for -1<x<6
by minimizing the peak value of the absolute error, i.e.,
minimize[max{ D(x) – a,-a,x – a,x2}]
using the Remez algorithm. Plot the error function after convergence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ec46734-1b11-4461-a2b9-448802030e42%2Fd1b28248-db04-46a3-986d-e810c88c17d7%2Fg6dk3ak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function
(D(x) = 1.1x3 – 9x2 + 1) for -1<x<6
by minimizing the peak value of the absolute error, i.e.,
minimize[max{ D(x) – a,-a,x – a,x2}]
using the Remez algorithm. Plot the error function after convergence.
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