Find the approximations To Mr and Sn for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 4 39 6 √x 12 n 6 12 dx To ET M₂ EM Sp Es

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the approximations To Mr and Sn for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer
algebra system.)
4 39
n
6
√x
12
n
6
12
dx
To
ET
M₂
EM
Sp
Es
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, ET and EM are decreased by a factor of about
, and Es is decreased by a factor of about
Transcribed Image Text:Find the approximations To Mr and Sn for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 4 39 n 6 √x 12 n 6 12 dx To ET M₂ EM Sp Es What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, ET and EM are decreased by a factor of about , and Es is decreased by a factor of about
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