Construct a table of values for sinx, x = 0, 0.1,0.2, ..., 0.6. Using the difference quotient, estimate the derivative at these points (use h = 0.001), and compare it with cos x. Round your answers to five decimal places, if necessary. sinx Difference Quotient cosx

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Construct a table of values for sinx, x = 0, 0.1,0.2, ..., 0.6. Using the difference quotient, estimate the derivative at these points (use
h = 0.001), and compare it with cos x.
Round your answers to five decimal places, if necessary.
sinx
Difference Quotient
cosx
i
0.9999
1
0.1
i
0.0998
0.99495
0.99500
0.2
0.19866
0.97996
0.98006
0.3
i
0.2955
0.95518
0.95533
0.4
i
0.3894
0.92086
0.92106
0.5
i
0.4794
0.87734
0.87758
0.6
i
0.5646
0.82505
0.82533
Transcribed Image Text:Construct a table of values for sinx, x = 0, 0.1,0.2, ..., 0.6. Using the difference quotient, estimate the derivative at these points (use h = 0.001), and compare it with cos x. Round your answers to five decimal places, if necessary. sinx Difference Quotient cosx i 0.9999 1 0.1 i 0.0998 0.99495 0.99500 0.2 0.19866 0.97996 0.98006 0.3 i 0.2955 0.95518 0.95533 0.4 i 0.3894 0.92086 0.92106 0.5 i 0.4794 0.87734 0.87758 0.6 i 0.5646 0.82505 0.82533
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9781337798310
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Peterson, John.
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Cengage Learning,