n(½1⁄²x²) x² in the viewing rectangle [0, 1] by [0, 0.5] and let I = Draw the graph of f(x) = sin (a) Use the graph to decide whether L₂, R₂, M₂, and T₂ underestimate or overestimate I. O L₂ will underestimate I. O L₂ will overestimate I. O R₂ will underestimate I. O R₂ will overestimate I. O M₂ will underestimate I. O M₂ will overestimate I. O T₂ will underestimate I. O T₂ will overestimate I. f^«» (c) Compute L5, R 5, M5, and T5. (Round your answer to four decimal places.) L5 = R5 = M5 = T5 = (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.) From the graph, which do you think gives the best estimate of I? OLn ORn OMn OTn f(x) dx.

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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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.
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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