EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 14, Problem 9P
Develop a program using a programming or macro language to implement the random search method. Design the subprogram so that it is expressly designed to locate a maximum. Test the program with f(x, y) from Prob. 14.7. Use a range of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A manufacturing company produces two types of products called X and Y. Each product uses four different machines like lathe, drilling,
grinding & milling operations. The profit per unit of selling X and Y are 7 RO and 3 RO respectively. Formulate a linear programming
model with the given constraints to determine the production volume of each product in order to maximize the total profit (in OR).
Solve the following linear programming model by using Graphical method.
Subject to,
6X + 4Y < 24
X + 2Y < 6
-X + Y< 1
Y< 2
and X,Y 2 0
6 108
polynomial is used to approximate v8, the answer is:
dy
13.
of the parametric equations x:
2-3t
3+2t
and y =-
is
dx
Use the following information for Questions 14 and 15:
1+t
1+t
Using the Newton-Raphson method to determine the critical co-ordinate of the graph
y=f(x)=(x)*an (*) (in words x to the power of tan (x)), you will be required to
determine f'(x)
14.
The expression for f'(x) is:
The following tools were required in determining an expression for f'(x):
Application of the natural logarithm
15.
I.
II.
The product rule
III.
Implicit differentiation
Select the graph showing Tmax versus D1 after answering the question.
Chapter 14 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 14 - 14.1 Find the directional derivative of
at in...Ch. 14 - Repeat Example 14.2 for the following function at...Ch. 14 - 14.3 Given
Construct and solve a system of...Ch. 14 - (a) Start with an initial guess of x=1 and y=1 and...Ch. 14 - 14.5 Find the gradient vector and Hessian matrix...Ch. 14 - Prob. 6PCh. 14 - Perform one iteration of the steepest ascent...Ch. 14 - Perform one iteration of the optimal gradient...Ch. 14 - Develop a program using a programming or macro...Ch. 14 - 14.10 The grid search is another brute force...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
|4.2| = ?
Basic Technical Mathematics
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x) = ex x is...
Fundamentals of Differential Equations (9th Edition)
Analytic Functions. Find fz=ux,y+ivx,y with u or v as given. Check by the Cauchy Reimann equations for analyti...
Advanced Engineering Mathematics
Find E(X) for each of the distributions given in Exercise 2.1-3.
Probability and Statistical Inference (9th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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- ♡ lar Fine break-even points. init. II جامعة Palestine ||arrow_forward2-the pivot value is the point of the intersection of the row of the leaving variable and the column of the solution. * true falsearrow_forwardFind 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_forward
- 19. The surface of a circular dartboard has a small center circle called the bull's eye and 20 pie-shaped regions numbered from 1-20. Each of the pie-shaped regions is further divided into three parts such that a person throwing a dart that lands on a specified number scores the value of the number, double the number, or triple the number, depending on which of the three parts the dart falls. If a contestant hits the bull's eye with a probability of 0.01, hits a double with a probability of 0.10, hits a triple with a probability of 0.05, and misses the dart board with a probability of 0.02, what is the probability that 7 throws will result in no bulls eyes, no triples, a double twice, and a complete miss once?arrow_forward4. 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.arrow_forwardDISCUSSION Before posting to the discussion board, complete the following: The concept of a weak solution of a boundary value problem plays an important role in some numerical solutions including the finite element method. The idea of a "weak solution" can be a rather weak notion. The following problem was presented in lecture 3 of week 8. It is generally not solvable in closed form. 00 on 0arrow_forwardQ1 / Reduce the block diagram to the simple form R(s) S 13 S 0. S 1 S C(s)arrow_forwardFalse a. True Reasoning: b. When analyzing av vs. t graph, the slope of the tangent line provides information on acceleration of the particle while the area under the curve provides information on the change in position. True Reasoning: False C. True False If acceleration changes over time, then we can use algebra to solve for position, velocity, and acceleration. False False When using rectangular components, each component is analyzed using one-dimensional motion in that direction. d. The "dot" notation can be used as a simplification of any derivative (like dy/dx, dx/dt, etc.). Reasoning: True Reasoning: SUM e. When analyzing absolute (dependent) motion of a pulley system, it is important to establish a datum that has a fixed location. True Reasoning: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_forwardFor the equation: a. Secant Method. Use Secant Method to determine the root of the given function up to three iterations use x_1= 0 and xo = 2. Complete the table using the HAND Calculation. Maintain 6 decimal places XH ex = 3 f(x+1) X₁ f(x₁) Eaarrow_forward2. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8arrow_forwardPlease help, this for Matlab the image is the first question with following 2 and 3 they go together. 2. Solving the question by using bisection.m with the stopping criterion at 1%. Report the root and # of iterations. 3. by using newton-Raphson matlab script with the stopping criterion at 0.1%. Report the root and # of iterations.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
2.1 Introduction to inequalities; Author: Oli Notes;https://www.youtube.com/watch?v=D6erN5YTlXE;License: Standard YouTube License, CC-BY
GCSE Maths - What are Inequalities? (Inequalities Part 1) #56; Author: Cognito;https://www.youtube.com/watch?v=e_tY6X5PwWw;License: Standard YouTube License, CC-BY
Introduction to Inequalities | Inequality Symbols | Testing Solutions for Inequalities; Author: Scam Squad Math;https://www.youtube.com/watch?v=paZSN7sV1R8;License: Standard YouTube License, CC-BY