Please escalate, urgent solution needed. Thanks in advance. You are given the quadrature formulaa3.a3Q.(f, a, b)fa + -b2424a) Determine to what degree m this formula integrates polynomials exactly.b) Compute the approximation of•11dxusing Q, as given above (simplify your result, it may contain expressions like /2 and V3).c) How does the quadrature Q, compare to Newton-Cotes and Gauss rules? Which one ofthe three would you use in practice?

From the given information. The quadrature formula is as follows. Q*f,a,b=b-a2f34a+14b+b-a2f14a+34b

You are given the quadrature formula - a 3 - a Q+(f, a, b) if. а + a+ -b 4 4 a) Determine to what degree m this formula integrates polynomials exactly. b) Compute the approximation of using Q, as given above (simplify your result, it may contain expressions like v2 and v3). c) How does the quadrature Q» compare to Newton-Cotes and Gauss rules? Which one of the three would you use in practice?

You are given the quadrature formula - a 3 - a Q+(f, a, b) if. а + a+ -b 4 4 a) Determine to what degree m this formula integrates polynomials exactly. b) Compute the approximation of using Q, as given above (simplify your result, it may contain expressions like v2 and v3). c) How does the quadrature Q» compare to Newton-Cotes and Gauss rules? Which one of the three would you use in practice?

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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Question

Please escalate, urgent solution needed. Thanks in advance.

You are given the quadrature formula
a
3.
a
3
Q.(f, a, b)
f
a + -b
2
4
2
4
a) Determine to what degree m this formula integrates polynomials exactly.
b) Compute the approximation of
•1
1
dx
using Q, as given above (simplify your result, it may contain expressions like /2 and V3).
c) How does the quadrature Q, compare to Newton-Cotes and Gauss rules? Which one of
the three would you use in practice?

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