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3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (f(xo) + 4f(x₁) + 2ƒ(x₂)+...+4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. M (b − a)5 180n4 f. Error where M = max(f"(x)) Ax - (f(xo) +2f(x₁) +2ƒ (x₂)+ ...+2f(xn-1) + f(n)) 2 M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))

3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (f(xo) + 4f(x₁) + 2ƒ(x₂)+...+4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. M (b − a)5 180n4 f. Error where M = max(f"(x)) Ax - (f(xo) +2f(x₁) +2ƒ (x₂)+ ...+2f(xn-1) + f(n)) 2 M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))

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. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (ƒ(xo) + 4ƒ (x₁) + 2ƒ (x₂)+...+ 4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. Ax 2 M (b − a)5 180n4 f. Error < where M = max(f"(x)) -(f(xo)+2f(ı)+2f(2)+ ...+2f(xn-1) + f(n)) M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))
Transcribed Image Text:3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (ƒ(xo) + 4ƒ (x₁) + 2ƒ (x₂)+...+ 4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. Ax 2 M (b − a)5 180n4 f. Error < where M = max(f"(x)) -(f(xo)+2f(ı)+2f(2)+ ...+2f(xn-1) + f(n)) M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))
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