Let f(x) = cos x and n N. a) Find the Taylor polynomial P2n: = P2nf,0.
Question:
a) Find the Taylor polynomial P2n: = P2nf,0.
b) Prove that if x ˆˆ [-1, 1], then
c) Find an n so large that P2n approximates COS x on [-1, 1] to seven decimal places.
Transcribed Image Text:
(2n1)!
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a If fx cos x then f2nx 1n cos x and f2n1x 1n sin x Thus b By ...View the full answer
Answered By
Mwangi Clement
I am a tried and tested custom essay writer with over five years of excellent essay writing. In my years as a custom essay writer, I have completed more than 2,000 custom essays in a diverse set of subjects. When you order essays from me, you are working with one of the best paper writers on the web. One of the most common questions I get from customers is: “can you write my essay?” Upon hearing that request, my goal is to provide the best essays and overall essay help available on the web. I have worked on papers in subjects such as Nursing and Healthcare, English Literature, Sociology, Philosophy, Psychology, Education, Religious Studies, Business, Biological Sciences, Communications and Media, Physical Sciences, Marketing and many others. In these fields, my specialties lie in crafting professional standard custom writings. These include, but are not limited to: research papers, coursework, assignments, term papers, capstone papers, reviews, summaries, critiques, proofreading and editing, and any other college essays.
My extensive custom writings experience has equipped me with a set of skills, research abilities and a broad knowledge base that allows me to navigate diverse paper requirements while keeping my promise of quality. Furthermore, I have also garnered excellent mastery of paper formatting, grammar, and other relevant elements. When a customer asks me to write their essay, I will do my best to provide the best essay writing service possible. I have satisfactorily offered my essay writing services for High School, Diploma, Bachelors, Masters and Ph.D. clients.
I believe quality, affordability, flexibility, and punctuality are the principal reasons as to why I have risen among the best writers on this platform. I deliver 100% original papers that pass all plagiarism check tests (Turnitin, Copyscape, etc.). My rates for all papers are relatively affordable to ensure my clients get quality essay writing services at reasonable prices.
4.50+
5+ Reviews
14+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Let f(x) = log x and n N. a) Find the Taylor polynomial Pn := pnf,1. b) Prove that if x [1, 2], then c) Find an n so large that Pn approximates log x on [1, 2] to three decimal places. | log x-pn...
-
Find the Taylor polynomial T3 (x) for the function f centered at the number a. Graph f and T3 on the same screen. a. f(x) = 1/x. a = 2 b. f(x) = cos x, a = (/2 c. f(x) 1n x, a = 1
-
Find the second Taylor polynomial P2(x) for the function f (x) = ex cos x about x0 = 0. a. Use P2 (0.5) to approximate f (0.5). Find an upper bound for error |f (0.5) P2(0.5)| using the error...
-
Dr. Thomas Bilski is a primary care physician with a practice that is currently serving 280 patients. Dr. Bilski would like to administer a survey to his patients to measure their satisfaction levels...
-
Modern Furniture Company had finally arrived at the point where it had a sufficient excess cash flow of $4.8 million to consider paying a dividend. It had 3 million shares of stock outstanding and...
-
What is the difference between a free-floating currency and a pegged exchange rate?
-
The study recorded whether participants were female or male \((S e x=F\) or M), and we see that 33 of the 165 females and 42 of the 99 males allowed the pressure to reach its maximum level of \(300...
-
Peyton Company's payroll for the year is $737,910. Of this amount, $472,120 is for wages paid in excess of $7,000 to each individual employee. The SUTA rate in Peyton Company's state is 2.9% on the...
-
How well did Allen interact with each member of the buying center? (Lawford Electric case) Lawford Electric Company (Revised) 580-124 Exhibit 1 (continued) Tension Reel-Hallden Shear System consists...
-
David R. and Ella M. Cole (ages 39 and 38, respectively) are husband and wife who live at 1820 Elk Avenue, Denver, CO 80202. David is a self-employed consultant, specializing in retail management and...
-
Decide which of the following statements are true and which are false. Prove the true ones and provide counterexamples for the false ones. a) x/log x 0 as x 0. b) If n N, then sin(1/x)/xn 0 as A:...
-
Prove I'Hopital's Rule for the case |B| = by first proving that g(x)/f(x) 0 when f(x)/g(x) , as x a.
-
Find a formula for f -1 (x). Identify the domain and range of f -1 . Verify that f and f are inverses. f(x) = 5x 15
-
If a stock price follows geometric Brownian motion, what is the process followed by the logarithm of the stock price?
-
What is the purpose of margin accounts?
-
How is the valuation of an option using a binomial tree changed when the stock is assumed to provide a continuous dividend yield?
-
What is the Black-Scholes-Merton price of European call and put options on an asset providing no income?
-
How might investors who consider themselves adept at stock picking use index futures?
-
In an article titled Great White, Deep Trouble (National Geographic, Vol. 197(4), pp. 229), Peter Benchleythe author of JAWSdiscussed various aspects of the Great White Shark (Carcharodon...
-
The 2017 financial statements of the U.S. government are available at: https://www.fiscal.treasury.gov/fsreports/rpt/finrep/fr/fr_index.htm Use these to answer the following questions: a. Statement...
-
If is continuous, show that
-
Use Fubini's Theorem to give an easy proof that D1, 2f = D2, 1f if these are continuous.
-
Use Fubini's Theorem to derive an expression for the volume of a set in R3 obtained by revolving a Jordan measurable set in the yz -plane about the -axis.
-
Scenario: Yarning Circle and Talking Stick Sarah has recently been employed by Blue Bay Early Learning Centre. Sarah is very proud of having just achieved the Diploma of Children's Services and she...
-
The principal at your school decides to retire, and several well-qualified teachers on the staff apply for the position. Mr. England has been teaching for four years and has his administrator's...
-
Sandi's parents have been divorced since she was five years old. She is now seven. She lives with her mother and visits her father every other weekend. He brings her to school on Monday mornings...
Study smarter with the SolutionInn App