EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 11, Problem 4P
Confirm the validity of the Cholesky decomposition of Example 11.2 by substituting the results into Eq. (11.2) to see if the product of
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The reaction
2I- (aq) + S2O82- (aq) → I2 (aq) + 2SO42- (aq)
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[I-]0(mol/L)
[S2O82-]0(mol/L)
Initial Rate (mol/L ·s)
0.080
0.040
12.5 x 10-6
0.040
0.040
6.25 x 10-6
0.080
0.020
6.25 x 10-6
0.032
0.040
5.00 x 10-6
0.060
0.030
7.00 x 10-6
a. Determine the rate law.
b. Calculate a value for the rate constant for each experiment and an average value for the rate constant
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Python 3 (pyke
We have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement the
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Assume f(x) is continuous over [a, b]. Let [a, b] be divided into N subintervals, each of length Ax, with endpoints at
P= x0, x1,x2,..., Xn,...,xN. Each interval is Ax = (b-a)/N.
$
The equation for the Simpson numerical integration rule is derived as:
df(xn)) + 2 (Σ=2n even
Now complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation.
The function to be intergrate is f(x) = 2x³ (Already defined in the function, no need to change).
Sof(x)dx≈ [f(x) + 4 (N=
[]: 'Complete the function given the variables N, a,b and return the value as "TotalArea". "
"Don't change the predefined content only fill your code in the region 'YOUR CODE"
a
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Chapter 11 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 11 - 11.1 Perform the same calculations as in (a)...Ch. 11 - Determine the matrix inverse for Example 11.1...Ch. 11 - 11.3 The following tridiagonal system must be...Ch. 11 - 11.4 Confirm the validity of the Cholesky...Ch. 11 - Perform the same calculations as in Example 11.2,...Ch. 11 - Perform a Cholesky decomposition of the following...Ch. 11 - Compute the Cholesky decomposition of...Ch. 11 - Use the Gauss-Seidel method to solve the...Ch. 11 - Recall from Prob. 10.8, that the following system...Ch. 11 - 11.10 Repeat Prob. 11.9, but use Jacobi...
Ch. 11 - 11.11 Use the Gauss-Seidel method to solve the...Ch. 11 - Use the Gauss-Seidel method (a) without relaxation...Ch. 11 - 11.13 Use the Gauss-Seidel method (a) without...Ch. 11 - Redraw Fig. 11.5 for the case where the slopes of...Ch. 11 - 11.15 Of the following three sets of linear...Ch. 11 - Use the software package of your choice to obtain...Ch. 11 - Given the pair of nonlinear simultaneous...Ch. 11 - An electronics company produces transistors,...Ch. 11 - Use MATLAB or Mathcad software to determine the...Ch. 11 - Repeat Prob. 11.19. but for the case of a...Ch. 11 - 11.21 Given a square matrix , write a single line...Ch. 11 - Write the following set of equations in matrix...Ch. 11 - In Sec. 9.2.1, we determined the number of...Ch. 11 - 11.24 Develop a user-friendly program in either a...Ch. 11 - 11.25 Develop a user-friendly program in either a...Ch. 11 - Develop a user-friendly program in either a...Ch. 11 - As described in Sec. PT3.1.2, linear algebraic...Ch. 11 - A pentadiagonal system with a bandwidth of five...
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