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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

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

Advanced Engineering Mathematics
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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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
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)
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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