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1. a. A table of values for f(x) is: (X-11) (k-12)(k-13) (0-1) (10-12) (ro-13 °./ f(z) 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 |fi"(x)| < 0.05 for all z, obtain a reasonable bound on the error in your estimate of f(10.5). 0,05 24 E 0,00198

1. a. A table of values for f(x) is: (X-11) (k-12)(k-13) (0-1) (10-12) (ro-13 °./ f(z) 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 |fi"(x)| < 0.05 for all z, obtain a reasonable bound on the error in your estimate of f(10.5). 0,05 24 E 0,00198

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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1. a. A table of values for f(x) is: (X-11) 6-12)x-13) ((0-1) (10-12) (co -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 |fi"(x)| < 0.05 for all r, obtain a reasonable bound on the error in your estimate of f(10.5). (x-10)K1)6<10)<-13)| 0,05 24 0,0019
Transcribed Image Text:1. a. A table of values for f(x) is: (X-11) 6-12)x-13) ((0-1) (10-12) (co -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 |fi"(x)| < 0.05 for all r, obtain a reasonable bound on the error in your estimate of f(10.5). (x-10)K1)6<10)<-13)| 0,05 24 0,0019
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