EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 21, Problem 16P
Develop a user-friendly computer program for the multiple application trapezoidal rule based on Fig. 21.9. Testyour programby duplicating the computation from Example 21.2.
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4. Using the method of Least Squares, determine to 6-decimal place the necessary values of the
coefficient C1 and C2 in the equation from the given data points.
1
y =
C, + C2x
A
C
2.07
8.60
14.42
15.8
Where:
ABCDEF is your student number.
Example, if your student number is 484321.
A = 4
B = 8
C = 4
D = 3
5. Using the same data points given in problem 4, solve for the Newton's Interpolating
Polynomials.
mathforadmi..2dff1dd723
PTU
Kadoorie sygini
1930
Technical
Department of Applied Mathematics
Second Semester 2020/2021
Math for Administration
Assignment 2
Question 1
For the function:
y = 0.01x- 0.001x²
Find the zeros, the vertex and the optimum
value (max. or min.)
Question 2
Suppose a company has fixed costs of $300
and variable
3
costs of x + 1460 dollars per unit,
4
where x is the
total number of units produced. Suppose
further that the
selling price of its product is 1500
X-
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Fine break-even points.
init.
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جامعة
Palestine
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3. Using the trial function uh(x) = a sin(x) and weighting function wh(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
Chapter 21 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 21 - 21.1 Evaluate the following...Ch. 21 - 21.2 Evaluate the following...Ch. 21 - Evaluate the following integral: 24(1x4x3+2x5)dx...Ch. 21 - Integrate the following function analytically and...Ch. 21 - 21.5 Integrate the following function both...Ch. 21 - Integrate the following function both analytically...Ch. 21 - 21.7 Integrate the following function both...Ch. 21 - 21.8 Integrate the following function both...Ch. 21 - 21.9 Suppose that the upward force of air...Ch. 21 - 21.10 Evaluate the integral of the following...
Ch. 21 - Prob. 11PCh. 21 - 21.12 Determine the mean value of the...Ch. 21 - 21.13 The function can be used to generate the...Ch. 21 - Evaluate the following double integral:...Ch. 21 - Evaluate the following triple integral...Ch. 21 - Develop a user-friendly computer program for the...Ch. 21 - Develop a user-friendly computer program for the...Ch. 21 - Develop a user-friendly computer program for...Ch. 21 - The following data was collected for a...Ch. 21 - 21.20 The outflow concentration from a reactor is...Ch. 21 - 21.21 An 11-m beam is subjected to a load, and the...Ch. 21 - The work produced by a constant temperature,...Ch. 21 - Determine the distance traveled for the following...Ch. 21 - 21.24 The total mass of a variable density rod is...Ch. 21 - 21.25 A transportation engineering study requires...Ch. 21 - Determine the average value for the data in Fig....
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