Letf be a differentiable function over [0, 2]. The values of the constants a and b such that the quadrature formula Q[ƒ] of the form : S f(x) dx * QIf] = af(0) + bf(1) + 2f(2) has the highest degree of precision are: a=1, b=1 a=-5, b=10 a=5, b= -10 a=2, b= -2
Letf be a differentiable function over [0, 2]. The values of the constants a and b such that the quadrature formula Q[ƒ] of the form : S f(x) dx * QIf] = af(0) + bf(1) + 2f(2) has the highest degree of precision are: a=1, b=1 a=-5, b=10 a=5, b= -10 a=2, b= -2
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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![Letf be a differentiable function over [0, 2].
The values of the constants a and b such that the quadrature formula Q[ƒ] of the form :
S f(x) dx * QIf] = af(0) + bf(1) + 2f(2)
has the highest degree of precision are:
a=1, b=1
a=-5, b=10
a=5, b= -10
a=2, b= -2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8737b94c-1ef7-4475-b494-7dbfe20abe95%2F1c3c2ef8-42ed-409b-9532-88b31bdf35f4%2Fqmcfulp_processed.png&w=3840&q=75)
Transcribed Image Text:Letf be a differentiable function over [0, 2].
The values of the constants a and b such that the quadrature formula Q[ƒ] of the form :
S f(x) dx * QIf] = af(0) + bf(1) + 2f(2)
has the highest degree of precision are:
a=1, b=1
a=-5, b=10
a=5, b= -10
a=2, b= -2
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