Find the approximations TM, and S for n = 6 and 12. Then compute the corresponding errors ET, EM, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) n 6 12 n 6 12 4 40 √ √x Tn dx ET Mn EM Sn Es What observations can you make? In particular, what happens to the errors when n is doubled? (Round your answer to the nearest integer.) As n is doubled, E, and EM are decreased by a factor of about , and Es is decreased by a factor of about

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 89E
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Find the approximations TM and S for n = 6 and 12. Then compute the corresponding errors ET, Em, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer
algebra system.)
n
6
12
n
6
12
4 40
√x
dx
ET
M₂
EM
What observations can you make? In particular, what happens to the errors when n is doubled? (Round your answer to the nearest integer.)
As n is doubled, E, and EM are decreased by a factor of about
and Es is decreased by a factor of about
Transcribed Image Text:Find the approximations TM and S for n = 6 and 12. Then compute the corresponding errors ET, Em, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) n 6 12 n 6 12 4 40 √x dx ET M₂ EM What observations can you make? In particular, what happens to the errors when n is doubled? (Round your answer to the nearest integer.) As n is doubled, E, and EM are decreased by a factor of about and Es is decreased by a factor of about
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