2. Consider the integral [² which can be computed exactly. a) Apply Romberg integration to estimate the integral in the order of O(h). Compute the true relative error and the approximate relative error? b) Apply the three-point Gauss quadrature formula to estimate the integral. sin redr

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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Q2 Please provide justified answer asap for both parts
2. Consider the integral
[² s
which can be computed exactly.
sin redr
a) Apply Romberg integration to estimate the integral in the order of O(h). Compute the
true relative error and the approximate relative error?
b) Apply the three-point Gauss quadrature formula to estimate the integral.
CS
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Transcribed Image Text:2. Consider the integral [² s which can be computed exactly. sin redr a) Apply Romberg integration to estimate the integral in the order of O(h). Compute the true relative error and the approximate relative error? b) Apply the three-point Gauss quadrature formula to estimate the integral. CS Scanned with CamScanner
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