b-a ² [ƒ(xo)/2 + ƒ (x₁) + ... + f(xn-1) + + f(n)/2], xi+1 = x; +h, h = (b − a)/n, xo = a, xn = b n for approximating is known as (A) Composite trapezoidal rule (B) Newton's method (C) Simpson's rule (D) Gaussian quadrature. b [ f(x f(x) dx

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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2. The formula
b-a
n
[ƒ(xo)/2 + ƒ(x₁) + ... + f(xn-1) ++f(xn)/2], xi+1 = x; +h, h= (b − a)/n, xo = a, xn =
= b
for approximating
is known as
(A) Composite trapezoidal rule
(B) Newton's method
(C) Simpson's rule
(D) Gaussian quadrature.
b
[
a
f(x) dx
Transcribed Image Text:2. The formula b-a n [ƒ(xo)/2 + ƒ(x₁) + ... + f(xn-1) ++f(xn)/2], xi+1 = x; +h, h= (b − a)/n, xo = a, xn = = b for approximating is known as (A) Composite trapezoidal rule (B) Newton's method (C) Simpson's rule (D) Gaussian quadrature. b [ a f(x) dx
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