Specifically, use the trapezoid rule to approximate the definite integral of f(x)=e^x from 1 to 9,...
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Specifically, use the trapezoid rule to approximate the definite integral of f(x)=e^x from 1 to 9, using n=1,2,4,8 intervals, and arrange your answers as the first column of a table. Use the general formula for Romberg Integration to complete additional columns of the table (make as many columns as possible). Compare your final answer with the exact solution you get using calculus techniques (i.e., find the true error). Show your work and use the table in the lecture as a guide. Specifically, use the trapezoid rule to approximate the definite integral of f(x)=e^x from 1 to 9, using n=1,2,4,8 intervals, and arrange your answers as the first column of a table. Use the general formula for Romberg Integration to complete additional columns of the table (make as many columns as possible). Compare your final answer with the exact solution you get using calculus techniques (i.e., find the true error). Show your work and use the table in the lecture as a guide.
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Posted Date:
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