Find the approximations Tn. Mn, and S, 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.) [*3 n 6 12 6 15 √x 12 dx Tn 30.134487 ET ✓ Mn 29.933576 EM ✓ Sn 30.007031 Es ✓

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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: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
Find the approximations Tn Mn, 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.)
6
12
n
6
12
√x
dx
Tn
30.134487
ET
Mn
29.933576
EM
Es
Sn
30.007031
Transcribed Image Text:Find the approximations Tn Mn, 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.) 6 12 n 6 12 √x dx Tn 30.134487 ET Mn 29.933576 EM Es Sn 30.007031
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