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a. A table of values for f(x) is: (X-11) (K-12) x-13) 0,1 ) (10-11) (10-12) (r0-13) f(x) 10 0.1000 11 0.0000 12 0.0000 13 0.0000 0.03125 Use cubic interpolation to estimate f(10.5).

a. A table of values for f(x) is: (X-11) (K-12) x-13) 0,1 ) (10-11) (10-12) (r0-13) f(x) 10 0.1000 11 0.0000 12 0.0000 13 0.0000 0.03125 Use cubic interpolation to estimate f(10.5).

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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a. A table of values for f(x) is: (X-11) (x-12) (x-13) 0,1 (10-11) (10-12) lco-13) f(x) 10 0.1000 11 0.0000 12 0.0000 13 0.0000 0.03125 Use cubic interpolation to estimate f(10.5). b. If it is known that |fiv(x)| < 0.05 for all x, obtain a reasonable bound on the error in your estimate of f(10.5). 0,05 24 0,00195
Transcribed Image Text:a. A table of values for f(x) is: (X-11) (x-12) (x-13) 0,1 (10-11) (10-12) lco-13) f(x) 10 0.1000 11 0.0000 12 0.0000 13 0.0000 0.03125 Use cubic interpolation to estimate f(10.5). b. If it is known that |fiv(x)| < 0.05 for all x, obtain a reasonable bound on the error in your estimate of f(10.5). 0,05 24 0,00195
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