In Exercises 25–28, find a polynomial that will approximate F(x) throughout the given interval with an error of magnitude less than 10-3. 25. F(x) = sin r² dt, [0, 1] | Pet dt, [0,1] 26. F(x) х 27. F(x) tan-t dt, (a) [0,0.5] (b) [0, 1] 28. F(x) = In (1 + t) dt, (a) [0,0.5] (b) [0, 1]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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In Exercises 25–28, find a polynomial that will approximate F(x)
throughout the given interval with an error of magnitude less than
10-3.
25. F(x) =
sin r² dt, [0, 1]
| Pet dt, [0,1]
26. F(x)
х
27. F(x)
tan-t dt,
(a) [0,0.5] (b) [0, 1]
28. F(x) =
In (1 + t)
dt,
(a) [0,0.5] (b) [0, 1]
Transcribed Image Text:In Exercises 25–28, find a polynomial that will approximate F(x) throughout the given interval with an error of magnitude less than 10-3. 25. F(x) = sin r² dt, [0, 1] | Pet dt, [0,1] 26. F(x) х 27. F(x) tan-t dt, (a) [0,0.5] (b) [0, 1] 28. F(x) = In (1 + t) dt, (a) [0,0.5] (b) [0, 1]
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