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Consider the approximation: 1(f) = [ f(x)da ≈ ƒ(−B) + ƒ(B) for some 0 ≤ ≤ 1, Show that it has a degree of precision greater or equal to 1 for any such choice of 3. Choose an exact value of ß, what is the degree of precision for the exact value of 3 you have chosen.

Consider the approximation: 1(f) = [ f(x)da ≈ ƒ(−B) + ƒ(B) for some 0 ≤ ≤ 1, Show that it has a degree of precision greater or equal to 1 for any such choice of 3. Choose an exact value of ß, what is the degree of precision for the exact value of 3 you have chosen.

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) Consider the approximation: I(ƒ) = = [₁ f(x) da ≈ f(−B) + f(B) for some 0≤ ≤ 1, Show that it has a degree of precision greater or equal to 1 for any such choice of 6. Choose an exact value of ß, what is the degree of precision for the exact value of 3 you have chosen.
Transcribed Image Text:1(a) Consider the approximation: I(ƒ) = = [₁ f(x) da ≈ f(−B) + f(B) for some 0≤ ≤ 1, Show that it has a degree of precision greater or equal to 1 for any such choice of 6. Choose an exact value of ß, what is the degree of precision for the exact value of 3 you have chosen.
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