Chapter 7, Section 7.7, Question 012 Use the inequalities JEM| = ƒ (x) dx 24n2 (b - a) K2 |Er| = f (x) dx – T, s 12n2 JEs| = f (x) dx - 180n to find upper bounds on the errors obtained when approximating the integral xp- 4x + 1" using (a) the midpoint approximation M10, (b) the trapezoidal approximation T10, and (c) Simpson's rule approximation S20. (a) the midpoint approximation: Round your answer to two decimal places. LINK TOΤΕXΤ (b) the trapezoidal approximation: Round your answer to two decimal places. |Er| <|
Chapter 7, Section 7.7, Question 012 Use the inequalities JEM| = ƒ (x) dx 24n2 (b - a) K2 |Er| = f (x) dx – T, s 12n2 JEs| = f (x) dx - 180n to find upper bounds on the errors obtained when approximating the integral xp- 4x + 1" using (a) the midpoint approximation M10, (b) the trapezoidal approximation T10, and (c) Simpson's rule approximation S20. (a) the midpoint approximation: Round your answer to two decimal places. LINK TOΤΕXΤ (b) the trapezoidal approximation: Round your answer to two decimal places. |Er| <|
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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I need some help solving these problems
![Chapter 7, Section 7.7, Question 012
Use the inequalities
(ь — а)' к,
JEM| =
f (x) dx – M,<
24n2
(Ь—а)? к,
|Er| =
/ f (x) dx – T,s
12n?
(b – a) K4
|Es| =
f (x) dx – S„ <
180n4
to find upper bounds on the errors obtained when approximating the integral
1
4х
using
(a) the midpoint approximation M10,
(b) the trapezoidal approximation T10, and
(c) Simpson's rule approximation S20.
(a) the midpoint approximation:
Round your answer to two decimal places.
|Em|<
LINK TO TEXT
(b) the trapezoidal approximation:
Round your answer to two decimal places.
|Er|<](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62cc3b2c-ca5c-4dc2-884f-aa56aeff03f7%2Fb2ba201c-0a75-41cc-a9f3-c7ff1844aa48%2F9snd18b_processed.png&w=3840&q=75)
Transcribed Image Text:Chapter 7, Section 7.7, Question 012
Use the inequalities
(ь — а)' к,
JEM| =
f (x) dx – M,<
24n2
(Ь—а)? к,
|Er| =
/ f (x) dx – T,s
12n?
(b – a) K4
|Es| =
f (x) dx – S„ <
180n4
to find upper bounds on the errors obtained when approximating the integral
1
4х
using
(a) the midpoint approximation M10,
(b) the trapezoidal approximation T10, and
(c) Simpson's rule approximation S20.
(a) the midpoint approximation:
Round your answer to two decimal places.
|Em|<
LINK TO TEXT
(b) the trapezoidal approximation:
Round your answer to two decimal places.
|Er|<
![(c) Simpson's rule approximation:
Round your answer to two decimal places.
|Es| <
LINK TO TEXT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62cc3b2c-ca5c-4dc2-884f-aa56aeff03f7%2Fb2ba201c-0a75-41cc-a9f3-c7ff1844aa48%2Fg6qtenr_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Simpson's rule approximation:
Round your answer to two decimal places.
|Es| <
LINK TO TEXT
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