### Question Description

I have the data, I need you to make the Lab report according to the rubric.

The Excel file has the data and some questions need to be answered.

The lab is called Buckling which is a Mechanics of Material class. I will attach what you need in this question.

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## Final Answer

Attached.

1

Taylor Polynomial and Absolute Error Bound

Student name:

Institutional affiliation:

2

Taylor Polynomial and Absolute Error Bound

The attached word document addresses the question “Find the Taylor polynomia, absolute error

bound, ?” by answering the following:

1. Consider f(x)=ln(1+x)

a. Find the Taylor polynomial of degree three, p3(x), for f(x) centered at x 0=1.

b. Maximize the absolute error bound for the Taylor polynomial approximation for

0.5≤x≤2.

c.

Calculate the absolute error at x =2. How is the error at x =2 compared to part (b).

2. Let f(x)=e^x+2x, 0≤x≤2.

a. Find the Lagrange interpolating polynomial for the data x1=0and x2=2.

b. Find the maximum error bound for the Lagrange Polynomial approximation for 0≤x≤2.

1

Running Head: Buckling

Lab Report: Buckling

Student name:

Institutional affiliation:

2

Buckling

Table of Contents

Objective and scop...

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