The left, right, trapezoidal, and midpoint rule approximations were used to estimate y = f(x) (a) Which rule produced which estimate? L = R= T = M = smaller value larger value (b) Between which two approximations does the true value of 0 of [²r(x) dx (x) dx lie? f(x) dx, where fis the function whose graph is shown. The estimates were 0.7812, 0.8686, 0.8631, and 0.9560, and the same number of subintervals were used in each case.
The left, right, trapezoidal, and midpoint rule approximations were used to estimate y = f(x) (a) Which rule produced which estimate? L = R= T = M = smaller value larger value (b) Between which two approximations does the true value of 0 of [²r(x) dx (x) dx lie? f(x) dx, where fis the function whose graph is shown. The estimates were 0.7812, 0.8686, 0.8631, and 0.9560, and the same number of subintervals were used in each case.
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:The left, right, trapezoidal, and midpoint rule approximations were used to estimate
Rn
Tn
(a) Which rule produced which estimate?
n
=
y
1 k
=
y = f(x)
smaller value
larger value
2
(b) Between which two approximations does the true value of
Prox
f(x) dx lie?
2
f(x) dx, where f is the function whose graph is shown. The estimates were 0.7812, 0.8686, 0.8631, and 0.9560, and the same number of subintervals were used in each case.
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