Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between lunch and his expository writing class. He used his calculator to find Ln, Rn, Tn, and Mn, to approx- imate a definite integral and jotted down the results on a napkin. The values of Ln, Rn, Tn, and Mn were: 0.367617, 0.3211885, 0.341189, and 0.274760. He didn't write down the problem, nor did he record the value of n he used. But he did sketch the function (over the relevant interval) on the napkin; it looked like this. x He wants your help in labeling the data he recorded as a left-hand sum, a right-hand sum, a midpoint sum, and a trapezoidal sum. Which is which? Explain your answer in complete English sentences.
Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between lunch and his expository writing class. He used his calculator to find Ln, Rn, Tn, and Mn, to approx- imate a definite integral and jotted down the results on a napkin. The values of Ln, Rn, Tn, and Mn were: 0.367617, 0.3211885, 0.341189, and 0.274760. He didn't write down the problem, nor did he record the value of n he used. But he did sketch the function (over the relevant interval) on the napkin; it looked like this. x He wants your help in labeling the data he recorded as a left-hand sum, a right-hand sum, a midpoint sum, and a trapezoidal sum. Which is which? Explain your answer in complete English sentences.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between
lunch and his expository writing class. He used his calculator to find Ln, Rn, Tn, and M₁, to approx-
imate a definite integral and jotted down the results on a napkin. The values of Ln, Rn, Tn, and
M₁ were: 0.367617, 0.3211885, 0.341189, and 0.274760. He didn't write down the problem, nor did
he record the value of na he used. But he did sketch the function (over the relevant interval) on the
napkin; it looked like this.
He wants your help in labeling the data he recorded as a left-hand sum, a right-hand sum, a midpoint
sum, and a trapezoidal sum. Which is which? Explain your answer in complete English sentences.
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