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Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors E, EM 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 2x4 dx 12 Tn 13.390947 ✓ 12.948045✔ ET 0.590947 X M₂ 12.505144 ✓ 12.726016✔ EM 0.294856 ✓ 0.006584 x 0.000412 Ex Enter a number. What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about S₁ 12.806584✔✔ 0.148045 X 0.073984 ✓ 12.800412✔✔ Es J, and Eg is decreased by a factor of about

Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors E, EM 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 2x4 dx 12 Tn 13.390947 ✓ 12.948045✔ ET 0.590947 X M₂ 12.505144 ✓ 12.726016✔ EM 0.294856 ✓ 0.006584 x 0.000412 Ex Enter a number. What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about S₁ 12.806584✔✔ 0.148045 X 0.073984 ✓ 12.800412✔✔ Es J, and Eg is decreased by a factor of about

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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Find the approximations T M 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' n [²2x² dx n 6 12 n 6 Tn 12 13.390947 12.948045 ET 0.590947 X M 0.148045 X 12.505144 n 12.726016 EM 0.294856 0.073984 12.806584 12.800412 0.000412 x Enter a number. What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about Es 0.006584 X and Es is decreased by a factor of about
Transcribed Image Text:Find the approximations T M 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' n [²2x² dx n 6 12 n 6 Tn 12 13.390947 12.948045 ET 0.590947 X M 0.148045 X 12.505144 n 12.726016 EM 0.294856 0.073984 12.806584 12.800412 0.000412 x Enter a number. What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about Es 0.006584 X and Es is decreased by a factor of about
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