Let p 1 and q 1 be the first-order Taylor polynomials for f(x) = x centered at
Question:
Let p1 and q1 be the first-order Taylor polynomials for f(x) = √x centered at 36 and 49, respectively.
a. Find p1 and q1.
b. Complete the following table showing the errors when using p1 and q1 to approximate f(x) at x = 37, 39, 41, 43, 45, and 47. Use a calculator to obtain an exact value of f(x).
c. At which points in the table is p1 a better approximation to f than q1? Explain this result.
Transcribed Image Text:
|V – p,(x)| |Vx – q1(x)| х 37 39 41 43 45 47
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
a We have Thus f36 36 6 f36 Px b Evaluating the errors gives 6 2 36 1 x 36...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Find the third order Taylor polynomials for the following function. f(x) = x3 + 4x2 + 3x + 1 for x near 0.
-
When approximating a function f using a Taylor polynomial, we use information about f and its derivatives at one point. An alternative approach (called interpolation) uses information about f at...
-
Do the interval and radius of convergence of a power series change when the series is differentiated or integrated? Explain.
-
Ancient Indians did not believe in war and violence when it came it an expansion of political territory but relied on peaceful negotiation and strategy. Please explain your views on this quote with...
-
Brick Oven Corporation made the following expenditures during the first month of operations Required: Record the $131,500 in cash expenditures. Attorneys' fees to organize the corporation Purchase of...
-
The following table illustrates the points a student can earn on examinations in economics and biology if the student uses all available hours for study. Economics Biology 100...............40...
-
Use the data for Atlantis Aquatics, Inc., from E4-21 A. Requirements 1. Prepare Atlantis Aquatics classified balance sheet. Use the account format. The balance shown for retained earnings represents...
-
A planned factory expansion project has an estimated initial cost of $800,000. Based on a discount rate of 20 percent, the present value of the future cost savings from the expansion is $843,000....
-
Which equation is equivalent to 5x-4y+ 6 = 0? A. y = 1.25x + 1.5 C. y = -1.5 - 1.25x B. x = 0.8y+1.2 D. x = -1.25y - 0.83
-
Rio Grande Taco Palace sells 200 gift cards at $50 per gift card and 100 of the gift cards are redeemed by year-end. Prepare the journal entries. (Ignore Cost of Goods Sold and possible breakage.)
-
Let f(x) = ln x and let p n and q n be the nthorder Taylor polynomials for f centered at 1 and e, respectively. a. Find p 3 and q 3 . b. Graph f, p 3 , and q 3 on the interval [0, 4]. c. Complete the...
-
Write the first four terms of a power series with coefficients c 0 , c 1 , c 2 , and c 3 centered at 0.
-
The account balances for Allied Electrical Supply, Inc., for the year ended August 31, 2012, are presented next in random order: Requirements 1. Prepare Allied Electrical Supplys single-step income...
-
With corporate income taxes, explain why a firms value can be higher with leverage even though its earnings are lower.
-
What is the interest tax shield?
-
How does the correlation between two stocks affect the risk and return of portfolios that combine them?
-
How does leverage affect a firms weighted average cost of capital?
-
If investors are holding optimal portfolios, how will the portfolios of a conservative and an aggressive investor differ?
-
In 1991, the Fed lowered its interest rate target, helping to bring the recession of that year to a rapid end. Make two copies of Figure 14(a) on a sheet of paper. Add curves to illustrate your...
-
(a) As Section 17.3 discusses, high-frequency sound waves exhibit less diffraction than low-frequency sound waves do. However, even high-frequency sound waves exhibit much more diffraction under...
-
Determine if the alternating series converges or diverges. Some of the series do not satisfy the conditions of the Alternating Series Test. (-1)+1 n=1 n? + 5 n + 4
-
Find the first four terms of the binomial series for the function. (1 - 2x) 1/2
-
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions. cos (x 2/ 3 /2) EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given...
-
On October 31, 2021, you find the following bond quote for Global Own, Inc. Answer the following questions using the information from the available sources. COMPANY COUPON MATURITY Global Own, Inc....
-
Ramon and Betsy are looking at buying a second car. They provide you with the following financial information: Ramon's Gross $55,000 Income Betsy's Gross Income $65,000 Annual Mortgage $21,540...
-
An investment promises to pay a perpetuity of $100 per year starting from today. If the discount rate is 10% per year, how much should you pay for this investment?
Study smarter with the SolutionInn App