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
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Author:James Stewart
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Chapter1: Functions And Models
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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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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|<
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
Transcribed Image Text:(c) Simpson's rule approximation: Round your answer to two decimal places. |Es| < LINK TO TEXT
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