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Determine the constants c₁ and c₂ in the formula f f(x)dx c₁f(1) + c₂f(0) so that it is exact for all polynomials of as large a degree as possible. Select one: O O O O C1 = C1 = - 5 1 2 - 1 2 C₁ = 1 and C₂ = and C2 1 2 and c₂ = 1 C₁ = 1 and c₂ = 1 - = -1 and c2 1 2 1 2

Determine the constants c₁ and c₂ in the formula f f(x)dx c₁f(1) + c₂f(0) so that it is exact for all polynomials of as large a degree as possible. Select one: O O O O C1 = C1 = - 5 1 2 - 1 2 C₁ = 1 and C₂ = and C2 1 2 and c₂ = 1 C₁ = 1 and c₂ = 1 - = -1 and c2 1 2 1 2

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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Determine the constants c₁ and c₂ in the formula f f(x) dx ≈ c₁f(1) + c₂ƒ(0) so that it is exact for all polynomials of as large a degree as possible. Select one: O O C1 = C₁ = - C1 1 2 || 1 2 and C2 O C₁ = 1 and c₂ = −1 2 O C₁ = 1 and c₂ = 1 = and c₂ = 1 and c2 2
Transcribed Image Text:Determine the constants c₁ and c₂ in the formula f f(x) dx ≈ c₁f(1) + c₂ƒ(0) so that it is exact for all polynomials of as large a degree as possible. Select one: O O C1 = C₁ = - C1 1 2 || 1 2 and C2 O C₁ = 1 and c₂ = −1 2 O C₁ = 1 and c₂ = 1 = and c₂ = 1 and c2 2
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