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= (a) An approximation method with a stepsize of h 0.2 produces an error of 0.05. If the approximation method used has an error which is O(h³), what would you expect the error to be if a stepsize of h 0.5 had been used instead? Give your answer rounded to at least 4 decimal places. = = (b) An approximation method which is O(h4) produces an error of 0.8 when a stepsize of h 0.7 is used. The approximation method is run again with a different stepsize and produces an error of 0.1. What stepsize do you expect was used in the second approximation? Give your final answer rounded to two decimal places.

= (a) An approximation method with a stepsize of h 0.2 produces an error of 0.05. If the approximation method used has an error which is O(h³), what would you expect the error to be if a stepsize of h 0.5 had been used instead? Give your answer rounded to at least 4 decimal places. = = (b) An approximation method which is O(h4) produces an error of 0.8 when a stepsize of h 0.7 is used. The approximation method is run again with a different stepsize and produces an error of 0.1. What stepsize do you expect was used in the second approximation? Give your final answer rounded to two decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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(a) An approximation method with a stepsize of h 0.2 produces an error of 0.05. If the approximation method used has an error which is O(h³), what would you expect the error to be if a stepsize of h 0.5 had been used instead? Give your answer rounded to at least 4 decimal places. = = (b) An approximation method which is O(hª) produces an error of 0.8 when a stepsize of h = 0.7 is used. The approximation method is run again with a different stepsize and produces an error of 0.1. What stepsize do you expect was used in the second approximation? Give your final answer rounded to two decimal places.
Transcribed Image Text:(a) An approximation method with a stepsize of h 0.2 produces an error of 0.05. If the approximation method used has an error which is O(h³), what would you expect the error to be if a stepsize of h 0.5 had been used instead? Give your answer rounded to at least 4 decimal places. = = (b) An approximation method which is O(hª) produces an error of 0.8 when a stepsize of h = 0.7 is used. The approximation method is run again with a different stepsize and produces an error of 0.1. What stepsize do you expect was used in the second approximation? Give your final answer rounded to two decimal places.
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