Question: The following integral is given as a function of x as: X F(x) = [In(t)e Sin (1) dt 20 We want to calculate this

The following integral is given as a function of "x" as: X

The following integral is given as a function of "x" as: X F(x) = [In(t)e Sin (1) dt 20 We want to calculate this form of integral using Taylor series expansion. Write all your calculations in detail at each iteration. a) Calculate the function value F(x-25) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=25) values. Find 7 approximation values using Taylor series expansion and comment on approximate error. b) Calculate the function value F(x=21) using the function properties evaluated at point x=20. Starting from the lowest term in Taylor series, find your approximate F(x=21) values. Find 7 approximation values using Taylor series expansion and comment on approximate error.

Step by Step Solution

★★★★★

3.35 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

SOLUTION a To use Taylor series expansion to approximate the value of Fx we need to first find the derivatives of the integrand Let Gt lnt esint Then Gt 1t esint cost Gt 1t esint cos2t sintt Gt 1t esi... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Using the symbolic representations p: It is snowing q: The roads are icy express the following compound statements in symbolic form It is snowing and the roads are icy If the roads are not icy, then...

The position of a racing car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following Table. Estimate (a) Its velocity and (b) Its acceleration...

The cash price of an apartment is RM286,200. Aurora decided to purchase it through an instalment plan by making a down payment of 10% followed by 360 equal monthly payments. The interest charged is...

Need solutions for solving 4.4 and 4.8 using python. Questions are attached as a screenshot. and a centered dallerence approximation o O) to estimate the first derivative of the function examined in...

Hi Erylee88, I would like to utilize your service again. Same format different questions. Please find attached document for your review. Let me know. Thank you, Sam...

How much is Juliana's Ohio deduction for prior-year depreciation add-backs?

5. Evaluate the following definite integral S, (2x + Vx + 1)dx. e. 68 NI- 3 b. c. 2 d. a. 6. Find the area bounded by the curve f(x) = -x2 - 3x + 2 and the straight line g (x) =-2x. e. 11 6 b. NIOT a...

5. Evaluate the following definite integral Si (2x + Vx -1) dx. c. 1 d. 3 e. 3 a. 6. Find the area bounded by the curve f (x) = x2 - 5x and the straight line g (x) = -2x. 23 a. b. C. 5 NIW e. 11 NI...

We begin some more generalities related to first order ODE As in the preceding part I denoted an open interval and 2 an open subset of R We consider a function f Ixn R giving rise to the first order...

Math 1242-006 Dr. Taylor Test I Review Name: ____________________ HW#1 Chapter 5.1 and 6.1 (Print Last Name First!) You must show all your work in the provided space to receive credit - even on the...

Let n 3 be an integer. The Mobius ladder graph , denoted M 2n , has 2n vertices labeled 1 through 2n. The edges of M 2n consist of a cycle through the 2n vertices as well as edges joining...

A medical sociologist investigated the relationship between severity of illness (X) and length of stay in a hospital (Y). Choosing eight patients at random, she ranked the seriousness of their...

Multiply. 5 y 5 * 4 u 5 y 3 * 2 u Simplify your answer as much as possible.

You are a conference organiser and you are asked to organise a conference for a company. The capacity of the conference room is limited and hence you would want to minimise the number of people...

Prepare statement of cash flow Items CURRENT ASSETS Inventories Accounts receivable Cash at Hand Cash at Bank Prepaid utilities Total Current assets NON-CURRENT ASSETS Fridge Furniture Utensils Total...

A circular loop, of loop radius / 30 and wire radius /1000, is used as a transmitting/receiving antenna in a back-pack radio communication system at 10 MHz. The wire of the loop is made of copper...

On January 1, an account is worth $70,000. After k months, the balance increases by 20%, and $4,000 is withdrawn. k + 2 months prior to the end of the year, the balance becomes $88,000 and $2,000 is...

Use the substitution u=x24 to evaluate the following indefinite integral.2x(x24)3dxWrite the integrand in terms of u.2x(x24)3dx= du

Construct a spreadsheet simulation in which each trial consists of rolling of four dice. That is, there are four random variables each with an outcome of 1, 2, 3, 4, 5, or 6. For each trial, record...

An Internet-service provider company uses a fiber-optic network to transmit data between locations. Data are carried through fiber-optic cables and switching nodes. A portion of the companys...

Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. A new client is requesting that the firm handle an $800,000 portfolio. As an initial investment...

Much marketing activity would seem to be fairly superficial, even trivial. In what ways may the broader view of communicating be integrated into marketing management practices?

Who needs to be the learner? How can marketing communication management provide learning mechanisms for the truly exchangeoriented business enterprise?

Why is so much that is passed off as marketing actually rather cynical behaviour? How could this be avoided?