## Solutions for Numerical Methods for Engineers

Problem 1P:

Use calculus to solve Eq. (1.9) for the case where the initial velocity, v(0) is nonzero.Problem 2P:

1.2 Repeat Example 1.2. Compute the velocity to s, with a step size of (a) 1 and (b) 0.5 s. Can you...Problem 3P:

Rather than the linear relationship of Eq. (1.7), you might choose to model the upward force on the...Problem 4P:

For the free-falling parachutist with linear drag, assume a first jumper is 70 kg and has a drag...Problem 5P:

Compute the velocity of a free-falling parachutist using Eulers method for the case where m=80kg and...Problem 7P:

The amount of a uniformly distributed radioactive contaminant contained in a closed reactor is...Problem 8P:

A group of 35 students attend a class in a room that measures 11 m by 8 m by 3 m. Each student takes...Problem 9P:

A storage tank contains a liquid at depth y, where y=0 when the tank is half full. Liquid is...Problem 10P:

For the same storage tank described in Prob. 1.9, suppose that the outflow is not constant but...Problem 11P:

1.11 Apply the conservation of volume (see Prob. 1.9) to simulate the level of liquid in a conical...Problem 12P:

In our example of the free-falling parachutist, weassumed that the acceleration due to gravity was a...Problem 13P:

1.13 Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its...Problem 14P:

Newtons law of cooling says that the temperature of a body changes at a rate proportional to the...Problem 15P:

As depicted in Fig. P1.15, an RLC circuit consists of three elements: a resistor (R), and inductor...Problem 16P:

1.16 Cancer cells grow exponentially with a doubling time of 20 h when they have an unlimited...Problem 17P:

1.17 A fluid is pumped into the network shown in Fig. P1.17. If, and, determine the other...Problem 18P:

The velocity is equal to the rate of change of distance x(m), dxdt=v(t) (P1.18) (a) Substitute Eq....Problem 19P:

You are working as a crime-scene investigator and must predict the temperature of a homicide victim...Problem 21P:

1.21 As noted in Prob. 1.3, drag is more accurately represented as depending on the square of...Problem 22P:

1.22 As depicted in Fig. P1.22, a spherical particle settling through a quiescent luid is subject to...Problem 23P:

As described in Prob. 1.22, in addition to the downward force of gravity (weight) and drag, an...Problem 24P:

As depicted in Fig. P1.24, the downward deflection y(m) of a cantilever beam with a uniform load w...# 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

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