The quadrature formula f(x)dx = f(w1) + f(w2) is exact for all constant and linear functions. Determine all possible values of the parameters W1 and W2. W, = - 1/2, w2=1/2 W1 = - 1, w2 =1 O w1 = W2 W1 = - W2

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The quadrature formula
-1
f(x)dx = f(w1) + f(w2) is exact for all constant and linear functions. Determine all possible values of the parameters W1 and W2.
W1 = - 1/2, w2 = 1/2
W1 = - 1, w2 =1
O w1 = W2
W1 = - W2
Transcribed Image Text:The quadrature formula -1 f(x)dx = f(w1) + f(w2) is exact for all constant and linear functions. Determine all possible values of the parameters W1 and W2. W1 = - 1/2, w2 = 1/2 W1 = - 1, w2 =1 O w1 = W2 W1 = - W2
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