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
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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fe1fc35-672a-49fd-831b-9642c77888ed%2F2e24914e-d4c4-4976-9c0a-34ae7b637030%2Fhzsbszj_processed.png&w=3840&q=75)
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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