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Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx af(0) +bf(h) +cf(2h) O a= ,b=165, c = ○ a = 0,b=4h, c = 2h O a=,b=2,c=-½ 2 O a 1, b=3, c = 2h Ⓒa=1,b=1,c=1 105

Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx af(0) +bf(h) +cf(2h) O a= ,b=165, c = ○ a = 0,b=4h, c = 2h O a=,b=2,c=-½ 2 O a 1, b=3, c = 2h Ⓒa=1,b=1,c=1 105

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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Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx f(x) dx af(0) +bf(h) +cf(2h) O a= 105 b= 16 35, C= 35 Ⓒa=0,b=4h,c=214 ○ a=5h,b=2,c=-11 O a 1, b 3, c = 2h ○a=1,b=1,c=1
Transcribed Image Text:Determine constants a,b and c such that the quadrature formula is exact for polynomials of highest possible degree. f(x) dx f(x) dx af(0) +bf(h) +cf(2h) O a= 105 b= 16 35, C= 35 Ⓒa=0,b=4h,c=214 ○ a=5h,b=2,c=-11 O a 1, b 3, c = 2h ○a=1,b=1,c=1
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