Consider a smooth function f such that f'(0) = -2. Given the following approximations of order 2 of f'(0): -2.040608 with h=0.1 and -2.010038 with h=0.05. Applying an extrapolation process, the improved approximation of f'(0) is 0.249999 This option None of the answers -1.999849 This option -0.499998

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
Consider a smooth function f such that f'(0) =-2. Given the following approximations
of order 2 of f'(0): -2.040608 with h 0.1 and-2.010038 with h=0.05.
Applying an extrapolation process, the improved approximation of f'(0) is
0.249999
-1.999849
This option
This option
None of the answers
-0.499998
Transcribed Image Text:Consider a smooth function f such that f'(0) =-2. Given the following approximations of order 2 of f'(0): -2.040608 with h 0.1 and-2.010038 with h=0.05. Applying an extrapolation process, the improved approximation of f'(0) is 0.249999 -1.999849 This option This option None of the answers -0.499998
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O Maps Cubic spline interp.
* numerical defferent.
aMas comp Simpson's Ru..
a comp Trapezoidal R..
Derivative Calculato..
Question
Suppose f"(x) = N,(h) + a,h² + azh* + azh6 + …
Using Richardson's extrapolation which of the following is true:
N,(h) =
with error of order 0(h)
N(h) =
with error of order O(h)
15
This option
O This option
None of the answers
N() =
with error of onder O)
Transcribed Image Text:Gmail YouTube O Maps Cubic spline interp. * numerical defferent. aMas comp Simpson's Ru.. a comp Trapezoidal R.. Derivative Calculato.. Question Suppose f"(x) = N,(h) + a,h² + azh* + azh6 + … Using Richardson's extrapolation which of the following is true: N,(h) = with error of order 0(h) N(h) = with error of order O(h) 15 This option O This option None of the answers N() = with error of onder O)
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