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 (²32) Jo 32x4 dx 214.25514 Tn 207.16872 -1.77 -0.44 ET x X 200.08230 Mn 203.62666 X 0.89 0.22 X X 204.90534 204.80658 -0.02 x -0.00111 X 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 4 16 , and Es is decreased by a factor of about

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