Let f be a smooth function f(x)dx af (1) + bf (2) +cf"(1) has the highest degree of precision, then the constants a, b and c are: O a=-1/2, b=3/2, c=-1/6 O a=5/6, b-1/6, c=1/3 Oa=2/3, b=1/3, c=1/6 O a=1/2, b31/2,c=-1/12

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f be a smooth function on [1, 2]. Suppose that the following quadrature formula:
f(x)dx af (1) + bf (2) +cf"(1)
has the highest degree of precision, then the constants a, b and c are:
O a=-1/2, b=3/2 , c=-1/6
O a=5/6, b=1/6 ,c=1/3
a=2/3, b=1/3 , c=1/6
a=1/2, b=1/2, c=-1/12
Transcribed Image Text:Let f be a smooth function on [1, 2]. Suppose that the following quadrature formula: f(x)dx af (1) + bf (2) +cf"(1) has the highest degree of precision, then the constants a, b and c are: O a=-1/2, b=3/2 , c=-1/6 O a=5/6, b=1/6 ,c=1/3 a=2/3, b=1/3 , c=1/6 a=1/2, b=1/2, c=-1/12
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