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3. A table of values for f(x) is: f(x) 0.0 100 110 3.0 120 0.0 130 1.0 Use cubic interpolation to estimate f(125). (メ-l0)(メー120-130) (110-100)(110-120 XIl0-130) (x-T0) (x-110)(x-20) (130-70) (130-116) (130-20) (25) (s)(-s) (25) (15)(S) = 3 + -3780 O3 Cr2s) GO0- (30) (20)(/0) - 0, 625 4. If it is known that |fiv (x)| < 0.001 for all a, obtain a reasonable bound on the error in your estimate of f(125) in problem 3. 三 24 s pool (25)(15)(S)(-s) =0,3906

3. A table of values for f(x) is: f(x) 0.0 100 110 3.0 120 0.0 130 1.0 Use cubic interpolation to estimate f(125). (メ-l0)(メー120-130) (110-100)(110-120 XIl0-130) (x-T0) (x-110)(x-20) (130-70) (130-116) (130-20) (25) (s)(-s) (25) (15)(S) = 3 + -3780 O3 Cr2s) GO0- (30) (20)(/0) - 0, 625 4. If it is known that |fiv (x)| < 0.001 for all a, obtain a reasonable bound on the error in your estimate of f(125) in problem 3. 三 24 s pool (25)(15)(S)(-s) =0,3906

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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3. A table of values for f(x) is: f(x) 0.0 100 110 3.0 120 0.0 130 1.0 Use cubic interpolation to estimate f(125). Po«) = -w(x-1206-130) (l10-100) Io-130) (x-T0) (x110)(x-1o) (13070)(130-1)(130-20) to (25) (s)F-s) 3 + (o) Ho) F20) (25) (15)(S) (30)(20) (/0) -3750 Go00 - 0, 625 4. If it is known that |fiv(x)| < 0.001 for all x, obtain a reasonable bound on the error in your estimate of f(125) in problem 3. ニ 24 0,3906 24
Transcribed Image Text:3. A table of values for f(x) is: f(x) 0.0 100 110 3.0 120 0.0 130 1.0 Use cubic interpolation to estimate f(125). Po«) = -w(x-1206-130) (l10-100) Io-130) (x-T0) (x110)(x-1o) (13070)(130-1)(130-20) to (25) (s)F-s) 3 + (o) Ho) F20) (25) (15)(S) (30)(20) (/0) -3750 Go00 - 0, 625 4. If it is known that |fiv(x)| < 0.001 for all x, obtain a reasonable bound on the error in your estimate of f(125) in problem 3. ニ 24 0,3906 24
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