Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
1
Draw the graph of f(x) = sin -x²) in the viewing rectangle [0, 1] by [0, 0.5] and let I =
[² F(x)
(a) Use the graph to decide whether L₂, R₂, M₂, and T₂ underestimate or overestimate I.
L₂ will underestimate I.
L₂ will overestimate I.
R₂ will underestimate I.
R₂ will overestimate I.
M₂ will underestimate I.
M₂ will overestimate I.
T₂ will underestimate I.
T₂ will overestimate I.
(b) For any value of n, list the numbers LR M T, and I in increasing order. (Enter your answers as a comma-separated list.)
n'
(c) Compute L5, R
45
R5
M5
T5
=
||
=
From the graph, which do you think gives the best estimate of I?
Ln
Rn
'n
5, M5, and T5. (Round your answer to four decimal places.)
Tn
f(x) dx.
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Transcribed Image Text:1 Draw the graph of f(x) = sin -x²) in the viewing rectangle [0, 1] by [0, 0.5] and let I = [² F(x) (a) Use the graph to decide whether L₂, R₂, M₂, and T₂ underestimate or overestimate I. L₂ will underestimate I. L₂ will overestimate I. R₂ will underestimate I. R₂ will overestimate I. M₂ will underestimate I. M₂ will overestimate I. T₂ will underestimate I. T₂ will overestimate I. (b) For any value of n, list the numbers LR M T, and I in increasing order. (Enter your answers as a comma-separated list.) n' (c) Compute L5, R 45 R5 M5 T5 = || = From the graph, which do you think gives the best estimate of I? Ln Rn 'n 5, M5, and T5. (Round your answer to four decimal places.) Tn f(x) dx.
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