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Numerical Methods for Engineers

7th Edition

Steven C. Chapra Dr., Raymond P. Canale

Publisher: McGraw-Hill Education

ISBN: 9780073397924

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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.

We offer sample solutions for Numerical Methods for Engineers homework problems. See examples below:

Given Information: The equation, dvdt=g−cmv. The initial velocity v(0) is non-zero. Formula used:...Given: The flow chart is as follows: The flow chart, The pseudo code to the provided question is as...Given: The number in base-2 is 101101. Formula used: Conversion formula from base-2 to base-10,...Given Information: The Maclaurin series of exponential function ex=1+x+x22+x33!+⋯+xnn!. Formula...Given Information: The equation f(x)=−0.5x2+2.5x+4.5. Calculation: The graph of the function can be...Given: The function, f(x)=sin(x)−x. The initial condition, x0=0.5 and iterate until εa≤0.01%....Given Information: Provided Polynomial is f(x)=x4−7.5x3+14.5x2+3x−20 and the monomial factor is x−2....Given Information: For ethyl alcohol a=12.02,b=0.08407 and the temperature is T=375 K, the number of...Given: The set of equations, 8=6x3+2x22−x1=x35x2+8x1=13 Consider the set of equations,...

Given: The equations, [L][U]=[A] and [L]{D}={B}. Proof: Consider a linear equation represented in...Given: A tridiagonal system: 0.8−0.40−0.40.8−0.40−0.40.8{x1x2x3}={4125105} Formula used: (a) The...Given Information: Flow rates are provided as follows: Q01=6 Q15=3, Q12=4, Q31=1, Q03=8, Q25=1,...Given Information: The function f(x) is given as, f(x)=−x2+8x−12 Calculation: Evaluate the first...Given: The function f(x,y)=x2+2y2 at x=2 and y=2 in the direction of h=2i+3j. Formula used: The...Given Information: Product A and B are produced during a 40-hr of work week. Company has access to...Given Information: The volume of the cylinder is 0.5 m3. Formula used: Write the expression of...Given Information: The data is, 8.8 9.5 9.8 9.4 10 9.4 10.1 9.2 11.3 9.4 10 10.4 7.9 10.4 9.8 9.8...Given Information: The values, log8=0.9030900log12=1.0791812 Formula used: Linear interpolation...Given: The average value formula is f(x)¯=∫0xf(x)dxx and the results are, ∑sin(ω0t)N=0,...Given Information: Data for specific growth rate k and available food f is given in the form of a...Given: The integral, ∫0π2(6+3cosx)dx Formula used: ∫abf(x)dx=[F(x)]ab=F(b)−F(a) Here, F(x) is...Given: Integral, ∫03xe2x dx. Formula used: (1) Formula for h is given by, h=b−an (2) Formula for...Given information: Function, y=cosx Step size, h=π12 The initial value of x, x=π4 Formula used:...Given Information: Write the value of the provided temperatures. T1=−150°C and T2=100°C Write the...Given Information: The initial value problem dydt=yt2−1.1y where y(0)=1. Formula used: Tosolve an...Given Information: Differential equation, dydx=−200,000y+200,000e−x−e−x . Formula used: The...Given Information: A steady-state heat balance for a rod is represented as d2Tdx2−0.15T=0 where the...Given Information: The differential equation for mass balance of single reactor is, Vdcdt=Qcin−Qc....Given information: The upper boundary condition increased to 150°C and the left boundary insulated...Given Information: The expression of the temperature distribution of long, thin rod is, l=10...Given Information: Poisson’s equation: d2Tdx2=−f(x) Here, function f(x) is the heat source along the...Given Information: The distributed-parameter system depicts chemical modelling being subjected to...

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Numerical Methods For Engineers With Personal Computer Applications

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