Numerical Analysis10th EditionRichard L. Burden; J. Douglas Faires; Annette M. Burden Publisher: Cengage Learning USISBN: 9781305730663
Numerical Analysis
Solutions for Numerical Analysis
Problem 1ES:
Show that the following equations have at least one solution in the given intervals. a. x cos x 2x2...Problem 2ES:
Show that the following equations have at least one solution in the given intervals. a. x cos x =...Problem 3ES:
Find intervals containing solutions to the following equations. a. x 2x = 0 b. 2x cos(2x) (x + 1)2...Problem 4ES:
Find intervals containing solutions to the following equations. a. x 3x = 0 b. 4x2 ex = 0 c. x3 ...Problem 5ES:
Find maxaxb |f(x)| for the following functions and intervals. a. f(x) = (2 ex + 2x)/3, [0, 1] b....Problem 6ES:
Find maxaxb | f(x)| for the following functions and intervals. a. f(x) = 2x/(x2 + 1), [0, 1] b. f(x)...Problem 7ES:
Show that f(x) is 0 at least once in the given intervals. a. f(x) = 1 ex + (e 1) sin((/2)x), [0,...Problem 8ES:
Suppose f C[a, b] and f (x) exists on (a, b). Show that if f (x) 0 for all x in (a, b), then there...Problem 9ES:
Let f(x) = x3. a. Find the second Taylor polynomial P2(x) about x0 = 0. b. Find R2(0.5) and the...Problem 10ES:
Find the third Taylor polynomial P3(x) for the function f(x)=x+1 about x0 = 0. Approximate...Problem 11ES:
Find the second Taylor polynomial P2(x) for the function f(x) = ex cos x about x0 = 0. a. Use...Problem 12ES:
Repeat Exercise 11 using x0 = /6. 11. Find the second Taylor polynomial P2(x) for the function f(x)...Problem 16ES:
Use the error term of a Taylor polynomial to estimate the error involved in using sin x x to...Problem 18ES:
Let f(x) = (1 x)1 and x0 = 0. Find the nth Taylor polynomial Pn(x) for f(x) about x0. Find a value...Problem 19ES:
Let f(x) = ex and x0 = 0. Find the nth Taylor polynomial Pn(x) for f(x) about x0. Find a value of n...Problem 21ES:
The polynomial P2(x)=112x2 is to be used to approximate f(x) = cos x in [12,12]. Find a bound for...Browse All Chapters of This Textbook
Chapter 1.1 - Review Of CalculusChapter 1.2 - Round-off Errors And Computer ArithmeticChapter 1.3 - Algorithms And ConvergenceChapter 2.1 - The Bisection MethodChapter 2.2 - Fixed-point IterationChapter 2.3 - Newton’s Method And Its ExtensionsChapter 2.4 - Error Analysis For Iterative MethodsChapter 2.5 - Accelerating ConvergenceChapter 3.1 - Interpolation And The Lagrange PolynomialChapter 3.2 - Data Approximation And Neville’s Method
Chapter 3.3 - Divided DifferencesChapter 3.4 - Hermite InterpolationChapter 3.5 - Cubic Spline InterpolationChapter 3.6 - Parametric CurvesChapter 4.1 - Numerical DifferentiationChapter 4.2 - Richardson’s ExtrapolationChapter 4.3 - Elements Of Numerical IntegrationChapter 4.4 - Composite Numerical IntegrationChapter 4.5 - Romberg IntegrationChapter 4.6 - Adaptive Quadrature MethodsChapter 4.7 - Gaussian QuadratureChapter 4.8 - Multiple IntegralsChapter 4.9 - Improper IntegralsChapter 5.3 - Higher-order Taylor MethodsChapter 11.3 - Finite-difference Methods For Linear Problems
More Editions of This Book
Corresponding editions of this textbook are also available below:
EBK NUMERICAL ANALYSIS
9th Edition
ISBN: 9780100440487
EBK NUMERICAL ANALYSIS
9th Edition
ISBN: 9781133169338
Numerical Analysis
9th Edition
ISBN: 9780538733519
Numerical Analysis
8th Edition
ISBN: 9780534392000
Numerical Analysis 9th Edition
9th Edition
ISBN: 9780538735643
Analisis Numerico/ Numerical Analysis (spanish Edition)
7th Edition
ISBN: 9789706861344
Numerical Analysis
10th Edition
ISBN: 9781305253674
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 9781305465350
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 9780100546301
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 8220100546303
Numerical Analysis
10th Edition
ISBN: 9781305253667
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