What is the degree of exactness m of the quadrature rule Q[ƒ; 0, 1] = ½ ƒ(;²(1 − 3)) + ½ƒ({(1 + ))? Hint: You can either determine the degree of exactness in the usual way, or you can find an argument why the above quadrature formula has the same degree of exactness as another quadrature formula that you know. O a. This rule is not even exact on constant functions. It does not even have degree of exactness m=0. O b. m=0 O c. m=1 O d. m=2 O e. m=3 O f. m=4 O g. m=5 Oh. m=6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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What is the degree of exactness m of the quadrature rule
Q[f; 0, 1] = = {\ƒ({}\(1 = )) + {{ƒ}}\(1 + $))?
Hint: You can either determine the degree of exactness in the usual way, or you can find an argument why the above quadrature formula has the same degree of
exactness as another quadrature formula that you know.
a. This rule is not even exact on constant functions. It does not even have degree of exactness m=0.
b. m=0
O c. m=1
d. m=2
e. m=3
O f. m=4
g. m=5
Oh. m=6
Transcribed Image Text:What is the degree of exactness m of the quadrature rule Q[f; 0, 1] = = {\ƒ({}\(1 = )) + {{ƒ}}\(1 + $))? Hint: You can either determine the degree of exactness in the usual way, or you can find an argument why the above quadrature formula has the same degree of exactness as another quadrature formula that you know. a. This rule is not even exact on constant functions. It does not even have degree of exactness m=0. b. m=0 O c. m=1 d. m=2 e. m=3 O f. m=4 g. m=5 Oh. m=6
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