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Numerical Methods

4th Edition

J. Douglas Faires, BURDEN

Publisher: Cengage Learning

ISBN: 9780495114765

Chapter

Section

Problem 2E:

Find intervals containing solutions to the following equations. x3x=0 4x2ex=0 x32x24x+3=0...

Problem 3E:

Show that the first derivatives of the following functions are zero at least once in the given...

Problem 5E:

Let f(x)=x3. Find the second Taylor polynomial P2(x) about x0=0. Find R2(0.5) and the actual error...

Problem 6E:

Let f(x)=x+1. Find the third Taylor polynomial P3(x) about x0=0. Use P3(x) to approximate...

Problem 7E:

Find the second Taylor polynomial P2(x) for the function f(x)=excosx about x0=0. Use P2(0.5) to...

Problem 8E:

Find the third Taylor polynomial P3(x) for the function f(x)=(x1)lnx about x0=1. Use P3(0.5) to...

Problem 9E:

Use the error term of a Taylor polynomial to estimate the error involved in using sinxx to...

Problem 11E:

Let f(x)=ex/2sin(x/3). Use MATLAB to determine the following. The third Maclaurin polynomial P3(x)....

Problem 12E:

Let f(x)=lnx2+2. Use MATLAB to determine the following. The Taylor polynomial P3(x) for f expanded...

Problem 13E:

The polynomial P2(x)=112x2 is to be used to approximate f(x)=cosx in 12,12. Find a bound for the...

Problem 14E:

The nth Taylor polynomial for a function f at x0 is sometimes referred to as the polynomial of...

Chapter 1.2 - Review Of CalculusChapter 1.3 - Round-off Error And Computer ArithmeticChapter 1.4 - Errors In Scientific ComputationChapter 2.2 - The Bisection MethodChapter 2.3 - The Secant MethodChapter 2.4 - Newton’s MethodChapter 2.5 - Error Analysis And Accelerating ConvergenceChapter 2.6 - M¨uller’s MethodChapter 3.2 - Lagrange PolynomialsChapter 3.3 - Divided Differences

NUMERICAL METHODS, Fourth Edition emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Students learn why the numerical methods work, what kinds of errors to expect, and when an application might lead to difficulties.

Corresponding editions of this textbook are also available below:

Student Solutions Manual For Faires/burden's Numerical Methods, 3rd

3 Edition

ISBN: 9780534407629

EBK NUMERICAL METHODS, 4TH

4 Edition

ISBN: 8220100450389

EBK NUMERICAL METHODS, 4TH

4 Edition

ISBN: 9780100450387

EBK NUMERICAL METHODS, 4TH

4 Edition

ISBN: 9781285402468

NUMERICAL METHODS <CUSTOM>

4 Edition

ISBN: 9781285904375

Student Solutions Manual For Faires/burden's Numerical Methods, 4th

4 Edition

ISBN: 9780495392989

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