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 4, Problem 15P
Prove that Eq. (4.4) is exact for all values of x if
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Habitat 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 time
To 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.
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)
Chapter 4 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 4 - The following series can be used to approximate...Ch. 4 - 4.2 The Maclaurin series expansion for cos x...Ch. 4 - 4.3 Perform the same computation as in Prob. 4.2,...Ch. 4 - 4.4 The Maclaurin series expansion for the...Ch. 4 - 4.5 Use zero- through third-order Taylor series...Ch. 4 - 4.6 Use zero- through fourth-order Taylor series...Ch. 4 - Use forward and backward difference approximations...Ch. 4 - 4.8 Use a centered difference approximation of to...Ch. 4 - 4.9 The Stefan-Boltzmann law can be employed to...Ch. 4 - Repeat Prob. 4.9 but for a copper sphere with...
Ch. 4 - Recall that the velocity of the falling...Ch. 4 - 4.12 Repeat Prob. 4.11 with.
Ch. 4 - 4.13 Evaluate and interpret the condition numbers...Ch. 4 - Employing ideas from Sec. 4.2, derive the...Ch. 4 - Prove that Eq. (4.4) is exact for all values of x...Ch. 4 - Mannings formula for a rectangular channel can be...Ch. 4 - If |x|1, it is known that 11x=1+x+x2+x3+ Repeat...Ch. 4 - A missile leaves the ground with an initial...Ch. 4 - To calculate a planets space coordinates, we have...Ch. 4 - 4.20 Consider the function on the interval . Use...Ch. 4 - Derive Eq. (4.31).Ch. 4 - 4.22 Repeat Example 4.8, but for .
Ch. 4 - 4.23 Repeat Example 4.8, but for the forward...Ch. 4 - 4.24 Develop a well-structured program to compute...
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