Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 22, Problem 11P
Develop a user-friendly computer program for Romberg
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1. The following transportation problem of cost matrix is:
Destination
Supply
A
7.
10
6.
80
15
Demand
75
20
50
Sources
Requirement:
Is it what type of transportation problem? Discuss the other types of it.
The penalty costs for not satisfying demand at the warehouses D, E, and F are TK. 5,
3, and 2 per unk respectively. Determine minimum transportation cost by using Lest
Cost Method (LCM)
3. Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find
an approximate solution to the following boundary value problems by determining the value
of coefficient a. For each one, also find the exact solution using Matlab and plot the exact
and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution,
and (iii) plotting the solution)
a.
(U₁xx -2 = 0
u(0) = 0
u(1) = 0
b. Modify the trial function and find an approximation for the following boundary value
problem. (Hint: you will need to add an extra term to the function to make it satisfy
the boundary conditions.)
(U₁xx-2 = 0
u(0) = 1
u(1) = 0
Consider the function p(x) = x² - 4x³+3x²+x-1. Use Newton-Raphson's method with initial guess of 3. What's the updated value of the root at the end of the second
iteration?
Type your answer...
Chapter 22 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 22 - 22.1 Use order of Romberg integration to...Ch. 22 - Use Romberg integration to evaluate I=12(x+1x)2dx...Ch. 22 - Use Romberg integration to evaluate 02exsinx1+x2dx...Ch. 22 - Obtain an estimate of the integral from Prob....Ch. 22 - Obtain an estimate of the integral from Prob....Ch. 22 - 22.6 Obtain an estimate of the integral from Prob....Ch. 22 - 22.7 Perform the computation in Examples 21.3 and...Ch. 22 - Employ two- through six-point Gauss-Legendre...Ch. 22 - Prob. 9PCh. 22 - 22.10 Develop a user-friendly computer program for...
Ch. 22 - Develop a user-friendly computer program for...Ch. 22 - Develop a user-friendly computer program for...Ch. 22 - 22.13 Develop a user-friendly computer program for...Ch. 22 - There is no closed form solution for the error...Ch. 22 - 22.15 The amount of mass transported via a pipe...Ch. 22 - The depths of a river H are measured at equally...Ch. 22 - 22.17 Recall that the velocity of the freefalling...Ch. 22 - 22.18 Prove that Eq. (22.15) is equivalent to...
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- A company operates to produce two products x₁ and x2. The production process involves two main resources: labor hours and raw materials. The objective is to maximize the total profit. Below is the formulated linear programming problem: Objective Maximize Subject to Z=2x+3x2 Labour hours Raw materials x1+ 2x2 ≤ 30 x1 + x2 ≤ 20 X1, X2 NO Final Iteration Optimal Tableau Coefficients of: RHS Basic Variables Z x1 X2 X3 X4 Z 1 0 0 1 1 50 X2 0 0 1 1 -1 10 x1 0 1 0 -1 2 10arrow_forward6.1Complete the code please.arrow_forwardf(x)=-0.9x? +1.7x+2.5 Calculate the root of the function given below: a) by Newton-Raphson method b) by simple fixed-point iteration method. (f(x)=0) Use x, = 5 as the starting value for both methods. Use the approximate relative error criterion of 0.1% to stop iterations.arrow_forward
- Which of the following is not part of the transportation algorithm? Select one: a. northwest corner rule b. portfolio selection c. balanced transportation table d. stepping-stone methodarrow_forwardlook at the graph wich presents F vs x graph ... Q : Determine the compression of the spring from the change in position of the cart+block in Graph ? please tell me the steps how can I find compression of the spring from the change in position of the cart+blockarrow_forwardPerform the following integrations: Show complete, correct and organized solutions:arrow_forward
- Find the three unknown on this problems using Elimination Method and Cramer's Rule. Attach your solutions and indicate your final answer. Problem 1. 7z 5y 3z 16 %3D 3z 5y + 2z -8 %3D 5z + 3y 7z = 0 Problem 2. 4x-2y+3z 1 *+3y-4z -7 3x+ y+2z 5arrow_forwardcan you solve it with explanation,thx.arrow_forward2. An example of a linear decreasing model could be inventory in a warehouse that ships the same number of items each day. We will assume that this warehouse is going out of business, so no new calculators are being sent to the warehouse. Calculators in warehouse Calculators sold per day number of calculators sold per salesperson per day salespeople 2(a). Notice that this model has additional components shown as converters. Based on the titles of the converters, write the equation that must have been used to calculate the flow value in this model. Be sure to include appropriate units. Set the initial number of calculators to 10,000 {calculators}. If nnd that they each sell 15 modelarrow_forward
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