ind the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors E₁, E, 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 26 Tn ET dx M₂ 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.) and F. is decreased by a factor of about s n is doubled F. and F. are 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 88E
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Question
n'
Find the approximations T, M, and S for n = 6 and 12. Then compute the corresponding errors ET, E, and E. (Round your answers to six decimal places. You may wish to use the sum command on a
computer algebra system.)
n
n
6
12
n
6
12
h
4 26
X
Tn
ET
dx
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
S
I
Transcribed Image Text:n' Find the approximations T, M, and S for n = 6 and 12. Then compute the corresponding errors ET, E, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) n n 6 12 n 6 12 h 4 26 X Tn ET dx 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 S I
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