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h Formula A Formula B Formula C .500000 5.764e-01 6.670e-02 9.329e-03 .250000 3.096e-01 1.683e-02 3.565e-04 .125000 1.596e-01 4.218e-03 5.181e-05 .062500 8.093e-02 1.055e-03 4.116e-06 .031250 4.074e-02 2.638e-04 2.836e-07 .015625 2.044e-02 6.595e-05 1.853e-08 .007812 1.024e-02 1.649e-05 1.183e-09 .003906 5.122e-03 4.122e-06 7.513e-11 en table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors ence of decreasing values of the grid spacing h. order of accuracy of Formula A is 1 prder of accuracy of Formula B is

h Formula A Formula B Formula C .500000 5.764e-01 6.670e-02 9.329e-03 .250000 3.096e-01 1.683e-02 3.565e-04 .125000 1.596e-01 4.218e-03 5.181e-05 .062500 8.093e-02 1.055e-03 4.116e-06 .031250 4.074e-02 2.638e-04 2.836e-07 .015625 2.044e-02 6.595e-05 1.853e-08 .007812 1.024e-02 1.649e-05 1.183e-09 .003906 5.122e-03 4.122e-06 7.513e-11 en table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors ence of decreasing values of the grid spacing h. order of accuracy of Formula A is 1 prder of accuracy of Formula B is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Please take log or show step by step calculation to get the answer. Don'nt explain things with word. I want calculation to get the answer. Not assuming things. Thank you
h Formula A Formula B Formula C 0.500000 5.764e-01 6.670e-02 9.329e-03 0.250000 3.096e-01 1.683e-02 3.565e-04 0.125000 1.596e-01 4.218e-03 5.181e-05 0.062500 8.093e-02 1.055e-03 4.116e-06 0.031250 4.074e-02 2.638e-04 2.836e-07 0.015625 2.044e-02 6.595e-05 1.853e-08 0.007812 1.024e-02 1.649e-05 1.183e-09 0.003906 5.122e-03 4.122e-06 7.513e-11 The given table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors are computed for a sequence of decreasing values of the grid spacing h. 1. The order of accuracy of Formula A is 1 2. The order of accuracy of Formula B is 3. The order of accuracy of Formula C is
Transcribed Image Text:h Formula A Formula B Formula C 0.500000 5.764e-01 6.670e-02 9.329e-03 0.250000 3.096e-01 1.683e-02 3.565e-04 0.125000 1.596e-01 4.218e-03 5.181e-05 0.062500 8.093e-02 1.055e-03 4.116e-06 0.031250 4.074e-02 2.638e-04 2.836e-07 0.015625 2.044e-02 6.595e-05 1.853e-08 0.007812 1.024e-02 1.649e-05 1.183e-09 0.003906 5.122e-03 4.122e-06 7.513e-11 The given table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors are computed for a sequence of decreasing values of the grid spacing h. 1. The order of accuracy of Formula A is 1 2. The order of accuracy of Formula B is 3. The order of accuracy of Formula C is
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