Table 8.5 M(n) T(n) Error in M(n) Error in T(n) 4 0.26683456310319 0.25904504019141 0.00259 0.00520 8. 0.26489148795740 0.26293980164730 0.000650 0.00130 16 0.26440383609318 0.26391564480235 0.000163 0.000325 32 0.26428180513718 0.26415974044777 0.0000407 0.0000814 64 0.26425129001915 0.26422077279247 0.0000102 0.0000203 128 0.26424366077837 0.26423603140581 0.00000254 0.00000509 /4 3 sin 2r dx

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Comparing the Midpoint and Trapezoid Rules Apply the Midpoint and Trapezoid Rules to the following integrals. Make a table similar as showing the approximations and errors for n = 4, 8, 16, and 32. The exact values of the integrals are given for computing the error.

Table 8.5
M(n)
T(n)
Error in M(n)
Error in T(n)
4
0.26683456310319
0.25904504019141
0.00259
0.00520
8.
0.26489148795740
0.26293980164730
0.000650
0.00130
16
0.26440383609318
0.26391564480235
0.000163
0.000325
32
0.26428180513718
0.26415974044777
0.0000407
0.0000814
64
0.26425129001915
0.26422077279247
0.0000102
0.0000203
128
0.26424366077837
0.26423603140581
0.00000254
0.00000509
Transcribed Image Text:Table 8.5 M(n) T(n) Error in M(n) Error in T(n) 4 0.26683456310319 0.25904504019141 0.00259 0.00520 8. 0.26489148795740 0.26293980164730 0.000650 0.00130 16 0.26440383609318 0.26391564480235 0.000163 0.000325 32 0.26428180513718 0.26415974044777 0.0000407 0.0000814 64 0.26425129001915 0.26422077279247 0.0000102 0.0000203 128 0.26424366077837 0.26423603140581 0.00000254 0.00000509
/4
3 sin 2r dx
Transcribed Image Text:/4 3 sin 2r dx
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