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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35052afd-5439-4d99-9df3-acb8daaf4475%2F5161009e-f629-4513-946e-ee58c491f76f%2F9gq6jss_processed.png&w=3840&q=75)
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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