Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 18, Problem 3P
Fit a third-order Newton's interpolating polynomial to estimate log 10 using the data from Prob. 18.1.
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Chapter 18 Solutions
Numerical Methods for Engineers
Ch. 18 - 18.1 Estimate the common logarithm of 10 using...Ch. 18 - 18.2 Fit a second-order Newton’s interpolating...Ch. 18 - 18.3 Fit a third-order Newton’s interpolating...Ch. 18 - Repeat Probs. 18.1 through 18.3 using the Lagrange...Ch. 18 - 18.5 Given these...Ch. 18 - 18.6 Given these data
x 1 2 3 5 7 8
...Ch. 18 - Repeat Prob. 18.6 using Lagrange polynomials of...Ch. 18 - 18.8 The following data come from a table that was...Ch. 18 - 18.9 Use Newton’s interpolating polynomial to...Ch. 18 - Use Newtons interpolating polynomial to determine...
Ch. 18 - 18.11 Employ inverse interpolation using a cubic...Ch. 18 - 18.12 Employ inverse interpolation to determine...Ch. 18 - 18.13 Develop quadratic splines for the first five...Ch. 18 - 18.14 Develop cubic splines for the data in Prob....Ch. 18 - Determine the coefficients of the parabola that...Ch. 18 - Determine the coefficients of the cubic equation...Ch. 18 - 18.17 Develop, debug, and test a program in either...Ch. 18 - 18.18 Test the program you developed in Prob....Ch. 18 - 18.19 Use the program you developed in Prob. 18.17...Ch. 18 - Use the program you developed in Prob. 18.17 to...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - 18.22 A useful application of Lagrange...Ch. 18 - Develop, debug, and test a program in either a...Ch. 18 - Use the software developed in Prob. 18.23 to fit...Ch. 18 - Use the portion of the given steam table for...Ch. 18 - The following is the built-in humps function that...Ch. 18 - 18.28 The following data define the sea-level...Ch. 18 - 18.29 Generate eight equally-spaced points from...Ch. 18 - 18.30 Temperatures are measured at various points...
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- Q7. Using the numeral symbols given in Question 4, calculate the following addition and subtraction. Show your work. a) cce+yгг b) Γ Γ Θ Δ - Θ Δ Υ Υarrow_forwardQ5. Add in the indicated base. Show your work. a) A7E4 sixteen+4825 sixteen b) 5442 seven + 5340 sevenarrow_forwardQ1. Write the following Babylonian numeral (base 60) as a Hindu-Arabic numeral (base 10). Show your work. a) <arrow_forwardQ4. A tribe has been located in a remote area in South America whose system of numeration uses the following symbols, as shown with their Hindu-Arabic equivalents: 0 1 2 3 4 5 6 A Σ Ꮎ Y 0 U L a) Scientists in this tribe have measured the radius of the earth as we know it in base ten to be 6371 km. Convert this value to the numerals used by this tribe. Show your work. D b) Convert the following number to base ten:arrow_forwardQ10. Perform the following divisions in base seven. Show your work. 0 a) 12) 456 b) 25 ) 1463 c) 31 6054 31)arrow_forwardQ11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ... b) 4.586 c) 0.368 d) 3.524arrow_forwardQ8. Multiply in the indicated base. Show your work. a) 513 eight x 16eight b) 405 six x 213sixarrow_forwardQ6. Subtract in the indicated base. Show your work. a) 5343 six- 3531 six b) 8BEA sixteen-A3F sixteenarrow_forwardCQ3. Convert the following numbers to Hindu-Arabic numeral in base ten. Show a) E0C8 hexadecimal your work. b) F41 Ahexadecimalarrow_forwardCalculate a = x+y, b = z + 1, then keep numbers a and b. Questions marked with *** are to be graded. 1. Use the initial and final value theorems to determine x(0*) and x(oo) for the following transforms: a(s+2) *** a) X(s)= s(s+b) 2(s+2) b) X(s)= s(s+a)(s+b) 2. Obtain the inverse Laplace transform for the following transforms. a) F(s)= as+b b) F(s)= 5s+2 (s+a)(s+b)² 3. Obtain the solution x(t) of the the following differential equations: a) x+ax=0, x(0)=b, x(0) = 0 b) 2x+2x+x=a, x(0)=0, x(0)=b 4. Obtain the inverse transform of the following. If the denominator of the transform has complex roots, express x(t) in terms of sin() and cos(). *** a) X(s)= b) X(s)= 4s+a +8s+b s³+as+6 s(s+b) 5. Determine the unit-step response, f (t) = u(t) of the following models. Take zero initial conditions. a) ax+20x+bx = f(t) b) x+ax+bx=3f(t)+2f(t)arrow_forwardQ/ calculate the Fourier series of f(x) on the given interval f(x) = x Sin X 9 -arrow_forwardQ 2/ Calculate the Fourier series of f(x) on the given interval f(x) = x Sin X - 16 x ≤ メarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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