EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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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
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3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
c) Using only Laplace transforms solve the following Samuelson model given below i.e.,
the second order difference equation (where yt is national income):
-
Yt+2 6yt+1+5y₁ = 0, if y₁ = 0 for t < 0, and y₁ = 0, y₁ = 1
1-e-s
You may use without proof that L-1[s(1-re-s)] = f(t) = r² for n ≤t
Scoring: MATH
15 FILING
/10 COMPARISON
/10 RULER I
13
Express
EMPLOYMENT PROFESSIONALS
NAME:
SKILLS EVALUATION TEST- Light Industrial
MATH-Solve the following problems. (Feel free to use a calculator.)
DATE:
1. If you were asked to load 225 boxes onto a truck, and the boxes are crated,
with each crate containing nine boxes, how many crates would you need to load?
2. Imagine you live only one mile from work and you decide to walk. If you
walk four miles per hour, how long will it take you to walk one mile?
3. Add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches.
4. In a grocery store, steak costs $3.85 per pound. If you buy a three-pound
steak and pay for it with a $20 bill, how much change will you get?
5. Add 8 minutes 32 seconds + 37 minutes 18 seconds + 15 seconds.
FILING - In the space provided, write the number of the file cabinet where the company should be filed.
Example: File Cabinet #4 Elson Co.
File Cabinets:
1. Aa-Bb
3. Cg-Dz
5. Ga-Hz
7. La-Md
9. Na-Oz
2. Bc-Cf…
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...
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Find E(X) for each of the distributions given in Exercise 2.1-3.
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- If you were asked to load 225 boxes onto a truck, and the boxes are crated, with each crate containing nine boxes, how many crates would you need to load?arrow_forwardHabitat for Humanity International is a nonprofit organization dedicated to eliminating poverty housing worldwide. Suppose the following table contains estimates of activity times (in days) involved in the construction of a house that Habitat for Humanity is building. Activity Optimistic Most Probable Pessimistic A 6 7.0 8 B 7 8.0 9 C 7 7.5 11.5 D 7 9.0 10 E 6 7.0 9 F 3 4.0 5 (a) Compute the expected activity completion times and the variance for each activity. (Round your answers to two decimal places.) Activity Expected Times A B C D E F Variance (b) An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. (Round your answers to two decimal places.) expected project completion time variance of projection completion timearrow_forwardTo manage the production of an animated movie, Pixar Animation Studios has listed the major activities involved, the predecessor relationships, and activity times (in months). The project is completed when activities F and G are both complete. Activity Immediate Predecessor G A B CD E A A C, B C, B D, E Time 4 6 2 6 3 3 5 (a) Find the critical path. (Enter your answers as a comma-separated list.) (b) The project must be completed in 1.5 years. Do you anticipate difficulty in meeting the deadline? Explain. The critical path activities require months to complete. Thus the project ---Select--- be completed in 1.5 years.arrow_forward
- To help with preparations, a couple has devised a project network to describe the activities that must be completed by their wedding date. In addition, they have estimated the time of each activity (in weeks). Start D F B E G Activity A B C DEFGH Time 5 3 6 6 6 3 11 10 (a) Identify the critical path. (Enter your answers as a comma-separated list.) H Finish (b) How much time (in weeks) will be needed to complete this project? week(s) (c) Can activity D be delayed without delaying the entire project? If so, by how many weeks? (If the activity can not be delayed, enter 0.) week(s) (d) Can activity C be delayed without delaying the entire project? If so, by how many weeks? (If the activity can not be delayed, enter 0.) week(s) (e) What is the schedule for activity E (in weeks)? Earliest Start Latest Start Earliest Finish Latest Finish week(s) week(s) week(s) week(s)arrow_forward30.6. Classify the zeros and singularities of the functions tanz (a). f(z)=sin(1-2-1), (b). f(2) = (c). f(z)= tanh .arrow_forward1. Locate the singularities of three of the following functions, and determine their type. (a) f(z)=2(z-sinz). (b) f(z) = (-) (c) f(z) = (z+2-22²)-1 (d) f(z) = sinzarrow_forward
- Q 2/classify the zeros and poles of the function f(z) = tanz Zarrow_forward30.1. Show that z = 0 is a removable singularity of the following functions. Furthermore, define f(0) such that these functions are analytic at z = 0. (a). f(z) = 2 sin z- z 1-12² - cos z (b). f(z) = (c). f(z) = sin 22arrow_forward3. Consider the polynomial equation 6-iz+7z² -iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forward
- 30.3. Find and classify the isolated singularities of the following func- tions: (a). 23+1 22(2-1) (b). ²e¹/, (c). sin 3z (d). COS 2arrow_forward3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forwardDetermine the set of odd primes p for which 23 is a quadratic residue.arrow_forward
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