Use the error formulas in Theorem 8.6 to estimate the errors in approximating the integral, with n
Question:
Use the error formulas in Theorem 8.6 to estimate the errors in approximating the integral, with n = 4, using
(a) The Trapezoidal Rule and
(b) Simpson’s Rule.
Transcribed Image Text:
THEOREM 8.6 Errors in the Trapezoidal Rule and Simpson's Rule If f has a continuous second derivative on [a, b], then the error E in approximating f f(x) dx by the Trapezoidal Rule is |E| ≤ (b − a)³ 12n² |E| ≤ -[max [f"(x)], a ≤x≤ b. Trapezoidal Rule Moreover, if f has a continuous fourth derivative on [a, b], then the error E in approximating fa f(x) dx by Simpson's Rule is (b − a)³ 180n4 -[max f(x)], a ≤ x ≤ b. Simpson's Rule
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 88% (9 reviews)
Theorem 86 provides error formulas for estimating the error in approximating a definite integral usi...View the full answer
Answered By
Joshua Marie Geuvara
I am an academic writer with over 5 years of experience. I write term papers, essays, dissertations, reports, and any other academic paper. My main objective is to produce a high-quality paper free from plagiarism and ensure a student scores an A+. Being a fluent English speaker, I have great communication skills that also enable me to produce excellent papers.
I am conversant with most academic referencing styles (APA, MLA, and Harvard).
You can trust me with your paper and expect nothing less than quality and excellent results. I look forward to meeting with you and, more importantly, developing something that will both make us happy and satisfied.
0.00
0 Reviews
10+ Question Solved
Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises use the error formulas in Theorem 4.20 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule (b) Simpson's Rule. Data from in Theorem 4.20...
-
In Exercises use the error formulas in Theorem 4.20 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule (b) Simpson's Rule. Data from in Theorem 4.20...
-
In Exercises use the error formulas in Theorem 4.20 to estimate the errors in approximating the integral, with n = 4, using (a) The Trapezoidal Rule (b) Simpson's Rule. Data from in Theorem 4.20...
-
You have $300,000 saved for retirement. Your account earns 6% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years? $ Get help: Video
-
When would a company use backflush costing?
-
1. Identify possible actors and use cases involved in Osceolas business functions. 2. Create a use case diagram for Osceolas operations. 3. Select one of the use cases and create a class diagram. 4....
-
How do you prevent name clashes when using header files?
-
(Issuance of Bonds with Stock Warrants) On May 1, 2010, Barkley Company issued 3,000 $1,000 bonds at 102. Each bond was issued with one detachable stock warrant. Shortly after issuance, the bonds...
-
Suppose A is a 2 by 2 matrix such that the image of the unit circle under the linear transformation given by A is: 2.0 1.5 1.0 2.0 1.5 1.0 0.5 0.5 0.0 0.0 -0.5 -0.5 -1.0 -1.0 -1.5 -1.5 -2.0 -2.0 -2.0...
-
1. Draw a network diagram that summarizes the systems described above; devices used by administrators, staff, instructors, and students; and the network connections among them. Assume that the...
-
Use partial fractions to find the indefinite integral. x + 2 X + 5x dx
-
Use the Trapezoidal Rule and Simpsons Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact...
-
Will newer direct media like e-mail and smart phones eventually replace direct mail in the future?
-
1. Please complete the following table for the various cyclic devices working between high and low temperature reservoirs. (30 marks) (1) Heat Engine 427 C TH TL QH QL Wnet Thermal Efficiency (nth)...
-
11) Jae Ho buys a BBB rated 1000 Microsoft Bond 3% cpn, maturing in 12/202020. The current yield on the bond is 3%. Based on this information what do we know about the bond's price? I
-
5. The high pressure compressor of an aircraft engine has an inlet stagnation temperature of 372 K and stagnation pressure of 220 kPa. The overall pressure ratio is 10 and the air mass flow rate is...
-
Background: Practice random acts of kindness and senseless beauty. QUESTION: Performed at least three (3) random acts of kindness, kindly explain the three (3) acts of kindness. what you did, why you...
-
Rockford Rebel, Inc. Intercompany Memo To: Justin Thompson, CFO From: Audrey Williston, Finance Manager Date: December 20, Year 0 Regarding: Investment in Bonds Justin, As you requested, I have...
-
AMC Entertainment, Inc., owns and operates movie theaters worldwide. Assume the company issued 4 percent bonds at their $ 53,000,000 face value and then used all of these cash proceeds to retire...
-
Write a paper about how diet relates to breast cancer in women study design to use: case control study purpose & rationale the purpose of this final project is to utilize the methods and...
-
In Exercises use a graphing utility to graph the first 10 terms of the sequence. Use the graph to make an inference about the convergence or divergence of the sequence. Verify your inference...
-
In Exercises determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. a n 1 n
-
In Exercises determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. an = n n + 1
-
Suppose Peloton company's stock has a beta of 0.26 and a required rate of return for the stock is 8%. If the average market return is 11%, what is the risk free rate of return? (Round your answer to...
-
Using the attached graphic of choking hazards for toddlers at Christmas time, draft 5 social media posts to be sent from the Toy Council of Canada's (@toycouncilCDA) Facebook, twitter and Instagram...
-
A non-dividend paying stock price is currently selling for SX. It is known that at the end of three months the stock price will be either $3.50 or $5.50. The risk-free rate of interest is 10 percent...
Study smarter with the SolutionInn App