Solutions for Numerical Methods for Engineers
Problem 1P:
2.1 Write pseudocode to implement the flowchart depicted in Fig. P2.1. Make sure that proper...Problem 3P:
2.3 Develop, debug, and document a program to determine the root of a quadratic equation, , in...Problem 4P:
The sine function can be evaluated by the following infinite series: sinx=xx33!+x55!x77!+ Write an...Problem 5P:
2.5 Develop, debug, and document a program for Prob. 2.4 in either a high-level language or a macro...Problem 6P:
The following algorithm is designed to determine a grade for a course that consists of quizzes,...Problem 7P:
The divide and average method, an old-time method for approximating the square root of any positive...Problem 8P:
2.8 An amount of money P is invested in an account where interest is compounded at the end of the...Problem 9P:
2.9 Economic formulas are available to compute annual payments for loans. Suppose that you borrow an...Problem 11P:
Develop, debug, and test a program in either a high-level language or a macro language of your...Problem 12P:
2.12 The bubble sort is an inefficient, but easy-to-program, sorting technique. The idea behind the...Problem 13P:
Figure P2.13 shows a cylindrical tank with a conical base. If the liquid level is quite low in the...Problem 14P:
2.14 Two distances are required to specify the location of a point relative to an origin in...Problem 15P:
Develop a well-structured function procedure that is passed a numeric grade from 0 to 100 and...Problem 17P:
Develop well-structured programs to (a) determine the square root of the sum of the squares of the...Problem 18P:
2.18 Piecewise functions are sometimes useful when the relation-ship between a dependent and an...Problem 19P:
Develop a well-structured function to determine the elapsed days in a year. The function should be...Problem 20P:
2.20 Develop a well-structured function to determine the elapsed days in a year. The first line of...Problem 21P:
2.21 Manning’s equation can be used to compute the velocity of water in a rectangular open...Problem 22P:
2.22 A simply supported beam is loaded as shown in Fig. P2.22. Using singularity functions, the...Problem 23P:
ThevolumeV of liquid in ahollow horizontal cylinder of radius r and length L is related to the depth...Problem 24P:
2.24 Develop a well-structured program to compute the velocity of a parachutist as a function of...Problem 25P:
The pseudocode in Fig. P2.25 computes the factorial. Express this algorithm as a well-structured...Browse All Chapters of This Textbook
Chapter 1 - Mathematical Modeling And Engineering Problem SolvingChapter 2 - Programming And SoftwareChapter 3 - Approximations And Round-off ErrorsChapter 4 - Truncation Errors And The Taylor SeriesChapter 5 - Bracketing MethodsChapter 6 - Open MethodsChapter 7 - Roots Of PolynomialsChapter 8 - Case Studies: Roots Of EquationsChapter 9 - Gauss EliminationChapter 10 - Lu Decomposition And Matrix Inversion
Chapter 11 - Special Matrices And Gauss-seidelChapter 12 - Case Studies: Linear Algebraic EquationsChapter 13 - One-dimensional Unconstrained OptimizationChapter 14 - Multidimensional Unconstrained OptimizationChapter 15 - Constrained OptimizationChapter 16 - Case Studies: OptimizationChapter 17 - Least-squares RegressionChapter 18 - InterpolationChapter 19 - Fourier ApproximationChapter 20 - Case Studies: Curve FittingChapter 21 - Newton-cotes Integration FormulasChapter 22 - Integration Of EquationsChapter 23 - Numerical DifferentiationChapter 24 - Case Studies: Numerical Integration And DifferentiationChapter 25 - Runge-kutta MethodsChapter 26 - Stiffness And Multistep MethodsChapter 27 - Boundary-value And Eigenvalue ProblemsChapter 28 - Case Studies: Ordinary Differential EquationsChapter 29 - Finite Difference: Elliptic EquationsChapter 30 - Finite Difference: Parabolic EquationsChapter 31 - Finite-element MethodChapter 32 - Case Studies: Partial Differential Equations
Book Details
This is the seventh edition of Chapra and Canale's Numerical Methods for Engineers that retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation," "Mathematical Background," and "Orientation." Each part closes with an "Epilogue" containing "Trade-Offs," "Important Relationships and Formulas," and "Advanced Methods and Additional References." Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Helpful separate Appendices. "Getting Started with MATLAB" and "Getting Started with Mathcad" which make excellent references. Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering.
Sample Solutions for this Textbook
We offer sample solutions for Numerical Methods for Engineers homework problems. See examples below:
Chapter 1, Problem 1PChapter 1, Problem 12PChapter 1, Problem 22PChapter 2, Problem 1PChapter 2, Problem 14PChapter 2, Problem 18PChapter 3, Problem 1PChapter 3, Problem 11PChapter 4, Problem 1P
Chapter 4, Problem 6PChapter 5, Problem 1PChapter 5, Problem 3PChapter 5, Problem 4PChapter 6, Problem 1PChapter 6, Problem 2PChapter 6, Problem 7PChapter 6, Problem 23PChapter 7, Problem 1PGiven Information: The given equation is, f(x)=x3+x2−4x−4 Use Müller’s method. Formula used: The...Chapter 7, Problem 9PChapter 8, Problem 1PChapter 8, Problem 23PChapter 8, Problem 44PChapter 8, Problem 46PChapter 8, Problem 48PChapter 9, Problem 1PChapter 9, Problem 2PChapter 9, Problem 21PChapter 10, Problem 1PChapter 10, Problem 3PChapter 10, Problem 8PChapter 11, Problem 1PChapter 11, Problem 12PChapter 11, Problem 13PChapter 12, Problem 1PChapter 12, Problem 10PChapter 12, Problem 12PGiven Information: The air flow through the room with proper description is provided as follows:...Chapter 13, Problem 1PChapter 13, Problem 6PChapter 13, Problem 8PChapter 14, Problem 1PChapter 14, Problem 5PChapter 15, Problem 1PGiven Information: The factors are given as below, Resource Regular Premium Supreme Resource...Chapter 16, Problem 1PChapter 16, Problem 5PChapter 16, Problem 19PChapter 16, Problem 33PChapter 17, Problem 1PChapter 17, Problem 2PChapter 17, Problem 22PChapter 18, Problem 1PChapter 18, Problem 10PChapter 18, Problem 14PChapter 19, Problem 1PChapter 19, Problem 4PChapter 19, Problem 6PChapter 20, Problem 1PGiven Information: The table is given as, Depth, m 0 0.5 1.0 1.5 2.0 2.5 3.0 Temperature, Celsius 70...Chapter 20, Problem 15PChapter 20, Problem 16PChapter 20, Problem 41PChapter 20, Problem 48PChapter 20, Problem 60PChapter 21, Problem 1PChapter 21, Problem 2PChapter 22, Problem 1PGiven Information: The given integral is, ∫2∞1x(x+2)dx Formula used: Simpson’s 1/3 rule. I1=h3[...Chapter 23, Problem 1PChapter 23, Problem 8PChapter 23, Problem 20PChapter 24, Problem 1PChapter 24, Problem 35PChapter 24, Problem 36PChapter 24, Problem 44PChapter 24, Problem 45PChapter 24, Problem 46PChapter 25, Problem 1PChapter 25, Problem 2PChapter 26, Problem 1PChapter 26, Problem 6PChapter 27, Problem 1PChapter 27, Problem 27PChapter 27, Problem 28PChapter 27, Problem 29PChapter 28, Problem 1PChapter 28, Problem 7PGiven Information: The series of first order, liquid phase reactions is, A→k1B→k2C The second order...Chapter 28, Problem 18PChapter 28, Problem 27PChapter 28, Problem 49PChapter 29, Problem 1PGiven Information: The fixed temperature at top and right boundary is 100 °C and the fixed...Chapter 30, Problem 1PChapter 30, Problem 5PChapter 31, Problem 1PGiven Information: To develop nodal equations for the temperature and their gradients at each of the...Chapter 32, Problem 1PChapter 32, Problem 9P
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Numerical Methods For Engineers With Personal Computer Applications
2nd Edition
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Numerical Methods For Engineers
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Numerical Methods For Engineers
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Numerical Methods For Engineers
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Numerical Methods for Engineers
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NUMERICAL METH.F/ENGR.-CONNECT ACCESS
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NUMERICAL METHODS FOR ENGINEERS
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NUMERICAL METH.F/ENGR. (LL)-W/CONNECT
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NUMERICAL METHODS FOR ENGINEERS
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Numerical Methods for Engineering
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Numerical Methods for Engineers
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Numerical Methods for Engineers
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EBK NUMERICAL METHODS FOR ENGINEERS
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Numerical Methods For Engineers, 7 Ed
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INTERNATIONAL EDITION---Numerical Methods for Engineers, 7th edition
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EBK NUMERICAL METHODS FOR ENGINEERS
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Package: Loose Leaf For Numerical Methods For Engineers With 1 Semester Connect Access Card
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Numerical Methods for Engineers
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Numerical Methods For Engineers: With Software And Programming Applications
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