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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
Question

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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.
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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