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Home > My Assignments > Section 5.9 (Homework) SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University About this Assignment Due: Thursday, September 8, 2005 11:12 PM EDT Current Score: 14.25 out of 14.25 Question Score Description Approximate Integration pts subs 1 0.25/0.25 4/20 2 0.25/0.25 2/20 3 0.25/0.25 3/20 4 0.25/0.25 1/20 5 0.5/0.5 3/20 6 0.5/0.5 2/20 2/2 Viewing: Last Response View: All Responses Notes 1. [SCalcCC2 5.9.02.] The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate the following where f is the function whose graph is shown below it. The estimates were 0.7816 , 0.8676 , 0.8631 , and 0.9530 , and the same number of subintervals were used in each case. (a) Which rule produced which estimate? L n = 0.9530 [ 0.9530 ] T n = 0.8676 [ 0.8676 ] M n = 0.8631 [ 0.8631 ] R n = 0.7816 [ 0.7816 ] (b) Between which two approximations does the true value of the integral lie? 0.8631 [ 0.8631 ] (smaller approximation) 0.8676 [ 0.8676 ] (larger approximation)
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pts subs 1 0.25/0.25 1/20 2 0.25/0.25 2/20 3 0.25/0.25 1/20 4 0.25/0.25 2/20 5 .2/.2 1/20 6 .2/.2 3/20 7 .2/.2 5/20 8 .2/.2 4/20 9 .2/.2 2/20 10 0.5/0.5 1/20 11 0.5/0.5 1/20 12 0.5/0.5 1/20 13 0.5/0.5 1/20 14 0.25/0.25 3/20 4.25/4.25
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