Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve c sabitlerini belirleyiniz Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f f(x) √æde af (0) +bf (¹) +cf(1) O a= O a = 1, b = a= 0,b= a = 2,b=2,c=2 , c = 1/ a= 105' 6 2 35 b = b = , c C= 16 35 16 " 35 21|3 C = C= 6 35 105
Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve c sabitlerini belirleyiniz Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f f(x) √æde af (0) +bf (¹) +cf(1) O a= O a = 1, b = a= 0,b= a = 2,b=2,c=2 , c = 1/ a= 105' 6 2 35 b = b = , c C= 16 35 16 " 35 21|3 C = C= 6 35 105
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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Transcribed Image Text:Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme
formülünü kesin eşitliğe dönüştüren a,b ve c sabitlerini belirleyiniz
Determine constants a,b and c such that the quadrature formula is exact
for polynomials of highest possible degree.
f(x) √=
f(x) √edraf(0) +bf (1) +cf(1)
○ a = ²,b=2, c = 2
a = 1, b 3², C =
o
2
○ a = 0,b=, c= //
3
O
a =
a =
4
105'
6
35
"
b
b
=
||
=
16 35
35, C
16
35
alt
C
||
=
||
=
6
35
4
105
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