The following integral is given as a function of x as: X F(x) = [In(t)e Sin...
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The following integral is given as a function of "x" as: X F(x) = [In(t)e Sin (1) dt 20 We want to calculate this form of integral using Taylor series expansion. Write all your calculations in detail at each iteration. a) Calculate the function value F(x-25) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=25) values. Find 7 approximation values using Taylor series expansion and comment on approximate error. b) Calculate the function value F(x=21) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=21) values. Find 7 approximation values using Taylor series expansion and comment on approximate error. The following integral is given as a function of "x" as: X F(x) = [In(t)e Sin (1) dt 20 We want to calculate this form of integral using Taylor series expansion. Write all your calculations in detail at each iteration. a) Calculate the function value F(x-25) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=25) values. Find 7 approximation values using Taylor series expansion and comment on approximate error. b) Calculate the function value F(x=21) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=21) values. Find 7 approximation values using Taylor series expansion and comment on approximate error.
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SOLUTION a To use Taylor series expansion to approximate the value of Fx we need to first find the derivatives of the integrand Let Gt lnt esint Then Gt 1t esint cost Gt 1t esint cos2t sintt Gt 1t esi... View the full answer
Related Book For
An Introduction to Management Science Quantitative Approach to Decision Making
ISBN: 978-1337406529
15th edition
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
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