Prove by induction that for all k, Use this to prove that T n agrees with
Question:
Prove by induction that for all k,
Use this to prove that Tn agrees with ƒ at x = a to order n.
Transcribed Image Text:
di ((x-a)k) dxj k! = di ((x-a)k) dxj k(k-1) (kj+ 1)(x-a)k-j k! a* L = 6 k! 1 for k=j 0 for kj
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
The first formula is clearly true for j 0 Suppose the formula is true for an arbitrary j Then di1 x...View the full answer
Answered By
Kennedy Odhiambo
As a professional writer, I have been in the field for over 5 years having worked as a lecture in different tertiary institutions across the world. With this impeccable experience, I assure provision of a good and supporting environment for students to learn.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In the years that followed, JMM encountered a number of highly profitable years, resulting in a surplus of cash. On August 1, 2025, the company repurchased and retired the entire bond issue at 114,...
-
The formula y = 2.5x + 13 models the percent of U.S. adults who are considered obese by federal guidelines, where x is the number of years after 1985, and y is the percent of obese adults. In this...
-
Kenneth Tully and Toby Benning began a new consulting business on January 1, 2020. They organized the business as a C corporation, KT, Inc. During 2020, the corporation was successful and generated...
-
Kelly Company had cash receipts from customers in 2012 of $142,000. Cash payments for operating expenses were $97,000. Kelly has determined that at January 1, accounts receivable was $13,000, and...
-
Shiloh is a sales representative for American Silk Mills who has a company car to visit customer sites. Shiloh drove 25,500 miles during 2022, of which 15 percent was reported as personal miles....
-
What limits the lifetime of a battery?
-
The trial balance for the General Fund of the City of Fairfield as of December 31, 2012, is presented here: Transactions for the year ended December 31, 2013, are summarized as follows: 1. The City...
-
1. 2. 3. 4. 5. At critical condition of temperature and pressure for a real gas, what would be the value of 16 Z? Here, Z is its compressibility factor. of species whose In the following list of...
-
Show that a n = 1/2n + 1 is decreasing.
-
Determine convergence or divergence using any method covered so far. 00 8 n=1 n 4-n + 5-n
-
A super high-speed 12-car Italian train has a mass of 660 metric tons (660, 000kg). IT can exert a maximum force of 400 kN horizontally against the tracks, whereas at maximum velocity (300km/h), it...
-
Compute the predetermined manufacturing overhead rate. Calculate the allocated manufacturing overhead for the past year. Compute the underallocated or overallocated manufacturing overhead. How will...
-
For each question below, copy your LC model to a new worksheet (tab) within your file, and change the numbers within that sheet as needed. Use an income of $65,000 per year for age 26 through age 65....
-
Let's say that the internal forces in members AB, BC, CA are F1, F2, and F3 respectively. Plot F1, F2, and F3 as a function of L where L varies from 1.0 to 3.0. Here are the steps you need to take:...
-
Walmart's Ratio Analysis Required: Comment on the Walmart's 3-year trends in the following liquidity, solvency, and profitability ratios: Return on Assets. Is it up or down, and why? Data: Walmart's...
-
In a team adopting Scrum, one of the clients, who is a chicken, specifies the details of the appearance of a part of the user interface of the system that is being developed. Explain whether this...
-
Shown here are the net tonnage figures for total pig iron and raw steel output in the United States as reported by the American Iron and Steel Institute over a 12-year period. Use these data to...
-
What key concerns must functional tactics address in marketing? Finance? POM? Personnel?
-
Determine the following limits analytically. p 1 lim p1 p 1
-
Determine the following limits analytically. sin?0 cos?0 lim 0T/4 sin 0 cos 0
-
Determine the following limits analytically. Vx - 3 lim >81 81
-
Recently,youaretaskedbyyourmanagertoevaluatetheinvestmentpotentialof2stocks,StockAand Stock B.Thecost ofequityis 8%forboth StockAand Stock B....
-
Explain how the pizza hut influenced sri Lankan customers using the model of buying behavior in sri Lankan market?
-
Back in the 1990s, drug kingpin Pablo Escobar couldn't use a bank account for all his cash so he stored paper US dollar bills in a warehouse. About 10% of the money was lost because of water damage,...
Study smarter with the SolutionInn App