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a. Find the approximations Tio, M₁0, and S₁0 for ² sin x de and the corresponding errors Er, EM, and Es. Answer + b. Compare the actual errors in part (a) with the error estimates given by (3) and (4). Answer c. How large do we have to choose n so that the approximations T, M₂, and S, to the integral in part (a) are accurate to within 0.00001? Answer

a. Find the approximations Tio, M₁0, and S₁0 for ² sin x de and the corresponding errors Er, EM, and Es. Answer + b. Compare the actual errors in part (a) with the error estimates given by (3) and (4). Answer c. How large do we have to choose n so that the approximations T, M₂, and S, to the integral in part (a) are accurate to within 0.00001? Answer

Advanced Engineering Mathematics
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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a. Find the approximations Tio, M₁0, and Sio for sin x da and the corresponding errors Er, EM, and Es. Answer b. Compare the actual errors in part (a) with the error estimates given by (3) and (4). Answer c. How large do we have to choose n so that the approximations T₁, M₂, and S, to the integral in part (a) are accurate to within 0.00001? Answer
Transcribed Image Text:a. Find the approximations Tio, M₁0, and Sio for sin x da and the corresponding errors Er, EM, and Es. Answer b. Compare the actual errors in part (a) with the error estimates given by (3) and (4). Answer c. How large do we have to choose n so that the approximations T₁, M₂, and S, to the integral in part (a) are accurate to within 0.00001? Answer
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