Here we consider f(x) = Vx near a = 8. (a) Find T1(x) and T2(x) centered at x = 8. (b) Separately use both T1(x) and T2(x) to approximate 7.8. (c) Use the Taylor Error Bound to determine the maximum possible values of the errors |T:(7.8) – V7.8| and |T2(7.8) – V7.8|. (d) Compare the actual errors to the guarantees calculated in the previous part.

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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Here we consider f(x) = Vx near x =
8.
(a) Find T1(x) and T2(x) centered at r = 8.
3
(b) Separately use both T1(x) and T2(x) to approximate 7.8.
(c) Use the Taylor Error Bound to determine the maximum possible values of the errors
– V7.8|.
3
|T1(7.8)- V7.8| and |T2(7.8)
3
(d) Compare the actual errors to the guarantees calculated in the previous part.
Transcribed Image Text:Here we consider f(x) = Vx near x = 8. (a) Find T1(x) and T2(x) centered at r = 8. 3 (b) Separately use both T1(x) and T2(x) to approximate 7.8. (c) Use the Taylor Error Bound to determine the maximum possible values of the errors – V7.8|. 3 |T1(7.8)- V7.8| and |T2(7.8) 3 (d) Compare the actual errors to the guarantees calculated in the previous part.
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