In Euler’s why we cannot use the data in Table 9.1.1 to help construct the values in Table 9.1.3?
Table 9.1.1
x
ny
nActual value Abs. error %Rel. error
1.00 1.0000 1.0000 0.0000 0.00
1.10 1.2000 1.2337 0.0337 2.73
1.20 1.4640 1.5527 0.0887 5.71
1.30 1.8154 1.9937 0.1784 8.95
1.40 2.2874 2.6117 0.3244 12.42
1.50 2.9278 3.4903 0.5625 16.12
Table 9.1.3
X
ny
nactual value Abs. error %Rel. error
1.00 1.0000 1.0000 0.0000 0.00
1.10 1.2320 1.2337 0.0017 0.14
1.20 1.5479 1.5527 0.0048 0.31
1.30 1.9832 1.9937 0.0106 0.53
1.40 2.5908 2.6117 0.0209 0.80
1.50 3.4509 3.4904 0.0394 1.13
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In Euler’s why we cannot use the data in Table 9.1.1 to help construct the values in Table 9.1.3? Table 9.1.1 xnynActual valueAbs. error%Rel. error 1.001.00001.00000.00000.00 1.101.20001.23370.03372.73 1.201.46401.55270.08875.71 1.301.81541.99370.17848.95 1.402.28742.61170.324412.42 1.502.92783.49030.562516.12 Table 9.1.3 Xnynactual valueAbs. error%Rel. error 1.001.00001.00000.00000.00 1.101.23201.23370.00170.14 1.201.54791.55270.00480.31 1.301.98321.99370.01060.53 1.402.59082.61170.02090.80 1.503.45093.49040.03941.13
In Euler’s why we cannot use the data in Table 9.1.1 to help construct the values in Table 9.1.3? Table 9.1.1 xn yn Actual value Abs. error %Rel. error 1.00 1.0000 1.0000 0.0000 0.00 1.10 1.2000 1.2337 0.0337 2.73 1.20 1.4640 1.5527 0.0887 5.71 1.30 1.8154 1.9937 0.1784 8.95 1.40 2.2874 2.6117 0.3244 12.42 1.50 2.9278 3.4903 0.5625 16.12 Table 9.1.3 Xn yn actual value Abs. error %Rel. error 1.00 1.0000 1.0000 0.0000 0.00 1.10 1.2320 1.2337 0.0017 0.14 1.20 1.5479 1.5527 0.0048 0.31 1.30 1.9832 1.9937 0.0106 0.53 1.40 2.5908 2.6117 0.0209 0.80 1.50 3.4509 3.4904 0.0394 1.13