Find the second Taylor polynomial P2(x) for the function f(x) = x sin x about xo = 0 a. Find an upper bound for |f (x) – P2(x)|, for 0 < x< 0.4 b. Approximate f f(x)dx using P2(x)dx. r0.4 0.4 C. Find an upper bound for the error in (b).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the second Taylor polynomial P2(x) for the function
f(x) = x sin x about xo = 0
a. Find an upper bound for |f(x) – P2(x)|, for 0 <x < 0.4.
b. Approximate * f (x)dx using P2(x)dx.
C. Find an upper bound for the error in (b).
c0.4
r0.4
Transcribed Image Text:Find the second Taylor polynomial P2(x) for the function f(x) = x sin x about xo = 0 a. Find an upper bound for |f(x) – P2(x)|, for 0 <x < 0.4. b. Approximate * f (x)dx using P2(x)dx. C. Find an upper bound for the error in (b). c0.4 r0.4
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