The left, right, trapezoidal, and midpoint rule approximations were used to estimatex) dx, where is the function whose graph is shown. The estimates were 0.7813, 0.8671, 0.8631, and 0.9530, and the same number of subintervals were used in each case y R₁ - T₂- y-fix) (a) Which rule produced which estimate? (b) Between which two approximations does the true value of x) dx lle? smaller value larger value

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The left, right, trapezoidal, and midpoint rule approximations were used to estimatex) dx, where is the function whose graph is shown. The estimates were 0.7813, 0.8671, 0.8631, and 0.9530, and the same number of subintervals were used in each
case
y
R₁ -
T₂-
y-fix)
(a) Which rule produced which estimate?
(b) Between which two approximations does the true value of x) dx lle?
smaller value
larger value
Transcribed Image Text:The left, right, trapezoidal, and midpoint rule approximations were used to estimatex) dx, where is the function whose graph is shown. The estimates were 0.7813, 0.8671, 0.8631, and 0.9530, and the same number of subintervals were used in each case y R₁ - T₂- y-fix) (a) Which rule produced which estimate? (b) Between which two approximations does the true value of x) dx lle? smaller value larger value
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