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Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve x₁ sabitlerini belirleyiniz. Determine constants a,b and a such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx af (0) +bf (x₁) ≈ 16 ○ a = 1, b = 1,2₁= / 105 35 O a=0,b=2₁ WIN O a= 3 O a = 1, b = 1, ₁ = = a = 1, b = ³,2 x1 = ○ a = b = ₁, ₁ = 2 WIN 3

Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve x₁ sabitlerini belirleyiniz. Determine constants a,b and a such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx af (0) +bf (x₁) ≈ 16 ○ a = 1, b = 1,2₁= / 105 35 O a=0,b=2₁ WIN O a= 3 O a = 1, b = 1, ₁ = = a = 1, b = ³,2 x1 = ○ a = b = ₁, ₁ = 2 WIN 3

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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Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve ₁ sabitlerini belirleyiniz. Determine constants a,b and a such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx≈ af (0) +bf (x₁) O a,b= O a=0,b=21: = 1/1, b = ², 2₁ O a= 105,6, ,1 = O a= = WIN 1 1 = 1, b = ²³², x₁ = ² ○ a = ₁, b = ₁, ₁ = 2
Transcribed Image Text:Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe dönüştüren a,b ve ₁ sabitlerini belirleyiniz. Determine constants a,b and a such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx≈ af (0) +bf (x₁) O a,b= O a=0,b=21: = 1/1, b = ², 2₁ O a= 105,6, ,1 = O a= = WIN 1 1 = 1, b = ²³², x₁ = ² ○ a = ₁, b = ₁, ₁ = 2
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