The left, right, trapezoidal, and midpoint rule approximations were used to estimate =1²₁ f(x) dx, where f is the function whose graph is shown. The estimates were 0.7813, 0.8701, 0.8632, and 0.9590, and the same number of subintervals were used in each case. y Tn = Mn = (a) Which rule produced which estimate? Ln = Rn = y = f(x) smaller value larger value (b) Between which two approximations does the true value of + of [² F(x) f(x) dx lie?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The left, right, trapezoidal, and midpoint rule approximations were used to estimate
and 0.9590, and the same number of subintervals were used in each case.
ぐっ
(a) Which rule produced which estimate?
Rn
Tn
Mn
=
II
=
y
1
=
y = f(x)
smaller value
larger value
2
(b) Between which two approximations does the true value of
X
2
[²Fx
f(x) dx lie?
2
[²Fwx
f(x) dx, where fis the function whose graph is shown. The estimates were 0.7813, 0.8701, 0.8632,
Transcribed Image Text:The left, right, trapezoidal, and midpoint rule approximations were used to estimate and 0.9590, and the same number of subintervals were used in each case. ぐっ (a) Which rule produced which estimate? Rn Tn Mn = II = y 1 = y = f(x) smaller value larger value 2 (b) Between which two approximations does the true value of X 2 [²Fx f(x) dx lie? 2 [²Fwx f(x) dx, where fis the function whose graph is shown. The estimates were 0.7813, 0.8701, 0.8632,
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