[² f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8684, 0.8631, and 0.9550, and the The left, right, trapezoidal, and midpoint rule approximations were used to estimate same number of subintervals were used in each case. y y = f(x) @ (a) Which rule produced which estimate? Ln = M₁ = (b) Between which two approximations does the true value of + [²1(x) d f(x) dx lie? smaller value larger value
[² f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8684, 0.8631, and 0.9550, and the The left, right, trapezoidal, and midpoint rule approximations were used to estimate same number of subintervals were used in each case. y y = f(x) @ (a) Which rule produced which estimate? Ln = M₁ = (b) Between which two approximations does the true value of + [²1(x) d f(x) dx lie? smaller value larger value
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:· 6²₁
f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8684, 0.8631, and 0.9550, and the
The left, right, trapezoidal, and midpoint rule approximations were used to estimate
same number of subintervals were used in each case.
y
1
y = f(x)
(a) Which rule produced which estimate?
Ln
=
Rn
=
=
Mn
(b) Between which two approximations does the true value of
smaller value
larger value
Tn
2
X
of [²F(x) c
f(x) dx lie?
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