ADVANCED ENGINEERING MATHEMATICS
10th Edition
ISBN: 9781119664697
Author: Kreyszig
Publisher: WILEY
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UNIVERSITY OF THE WEST INDIES
OPEN CAMPUS
MATH0900 SEMESTER 2 2024/2025
Tutorial Assignment 1 – GROUP ASSESSMENT ( 52 marks)
26% Course Work + 4% - from Peer Assessment TOTAL 30%
1) a) From the set {-6, 5, 3.4, 8, -²/5, √(-3), √5, 6i, -3.2, 5+4i}
i) List the set of
ii) List the set of
iii) List the set of
vi) List the set of
b) Calculate
Natural Numbers
Integers Numbers
Rational Numbers
Imaginary numbers
(4 marks)
||
i) 5(-3)+(-6)(-4) -7(-2) =
ii) -4(-2)-3(6) + 2(-5) =
3(-2) (2)7-3(-5)
(4, 4 marks)
2) a) Calculate
13 -13433 x 5/6
=
(4 marks)
b) Given
2
3(x-2)=2(2x+3)-1
5
Solve for x
(4 marks)
Same as 3(x-2)/2 = 2(2x+3)/5 - 1
3) a) Calculate the time taken for an investment of $900,000 to gain an interest of $75,600
if the interest rate is 1.2%.
(3 marks)
b) 4 sandwiches and 2 drinks cost $46.00 also 3 sandwiches and 1 drinks cost $32.00
What is the cost of each item?
(4 marks)
4) a) Out of 7 male employees and 5 female employees 4 are randomly selected for a pay
increase. How…
2. In a computer network some pairs of computers are connected by network cables.
Your goal is to set up the computers so that messages can be sent quickly from any
computer to any other computer. For this you have identified each of the n com-
puters uniquely with a number between 1 and n, and have decided that a message
should consist of two such numbers, identifying the sender and the recipient, fol-
lowed by the content of the message. As cables are relatively short, you can assume
that sending a message across a single cable takes an amount of time that is the
same irrespective of the length of the cable. You can further assume that at most
one message travels between computer at any point, so that you don't have to worry
about inference among messages.
(a) Define a graph or network that models the computer network and allows you
to answer the remaining parts of this question.
(b) Consider two computers, a sender and a recipient. Using the graph or network
you have defined,…
3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains
either a value or a formula that depends on the values of other cells.
(a) Describe a graph, digraph, or network that models an arbitrary spreadsheet
and allows you to answer the remaining parts of this question.
(b) Explain, by referring to the graph, digraph, or network, when it is possible to
change the value of cell x without changing the value of cell y.
(c) Explain, by referring to the graph, digraph, or network, when it is possible to
calculate the values of all cells in the spreadsheet.
Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam-
ple, cell el contains a value, whereas cell al contains a formula that depends on the
values cells el and 95.
a
b
с
1
el+g5 al-c5 110
d
al+cl 180
e
f
g
f5-el
c1+c2
2
al+b1 a2+c4 240
a2+c2 120
f5-e2
e3+e5
3 a2+b2 a3-c3 100
a3+c1 200
f5-e3 f1+f2
4
a3+b3 a4+c2 220
a4+c2 100 f5-e4 f3+f4
5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2
(d) Can…
Chapter 23 Solutions
ADVANCED ENGINEERING MATHEMATICS
Ch. 23.1 - Prob. 1PCh. 23.1 -
Sketch the graph consisting of the vertices and...Ch. 23.1 -
Worker W1 can do jobs J1, J3, J4, worker W2 job...Ch. 23.1 - Prob. 6PCh. 23.1 - Prob. 7PCh. 23.1 - Prob. 8PCh. 23.1 - Prob. 9PCh. 23.1 - Find the adjacency matrix of the given graph or...Ch. 23.1 - Prob. 11PCh. 23.1 - Prob. 12P
Ch. 23.1 - Prob. 13PCh. 23.1 - Prob. 14PCh. 23.1 - Prob. 15PCh. 23.1 - Prob. 16PCh. 23.1 - Prob. 17PCh. 23.1 - Prob. 18PCh. 23.1 - Prob. 19PCh. 23.1 - Prob. 20PCh. 23.2 - Prob. 1PCh. 23.2 - Prob. 2PCh. 23.2 - Prob. 3PCh. 23.2 - Prob. 4PCh. 23.2 - Prob. 5PCh. 23.2 - Prob. 6PCh. 23.2 - Prob. 8PCh. 23.2 - Prob. 10PCh. 23.2 - Find and sketch a Hamiltonian cycle in Prob. 1.
1....Ch. 23.2 - Prob. 12PCh. 23.2 - Prob. 13PCh. 23.2 - Prob. 14PCh. 23.2 - Prob. 15PCh. 23.2 - Find four different closed Euler trails in Fig....Ch. 23.2 - Prob. 17PCh. 23.3 - The net of roads in Fig. 488 connecting four...Ch. 23.3 - Prob. 2PCh. 23.3 - Prob. 3PCh. 23.3 - Prob. 4PCh. 23.3 - Prob. 5PCh. 23.3 - DIJKSTRA’S ALGORITHM
For each graph find the...Ch. 23.3 - Prob. 7PCh. 23.3 - Prob. 8PCh. 23.3 - Prob. 9PCh. 23.4 - Prob. 1PCh. 23.4 - Prob. 2PCh. 23.4 - Prob. 3PCh. 23.4 - Prob. 4PCh. 23.4 - Prob. 5PCh. 23.4 - Prob. 6PCh. 23.4 - Prob. 8PCh. 23.4 - Prob. 9PCh. 23.4 - Prob. 10PCh. 23.4 - Prob. 11PCh. 23.4 - Prob. 12PCh. 23.4 - Prob. 13PCh. 23.4 - Prob. 14PCh. 23.4 - Prob. 15PCh. 23.4 - Prob. 16PCh. 23.4 - Prob. 17PCh. 23.4 - Prob. 18PCh. 23.4 - Prob. 19PCh. 23.4 - Prob. 20PCh. 23.5 - Prob. 1PCh. 23.5 - Prob. 2PCh. 23.5 - Prob. 3PCh. 23.5 - Prob. 4PCh. 23.5 - Prob. 5PCh. 23.5 - Prob. 6PCh. 23.5 - Prob. 7PCh. 23.5 - Prob. 8PCh. 23.5 - Prob. 9PCh. 23.5 - Prob. 10PCh. 23.5 - Prob. 11PCh. 23.5 - Prob. 12PCh. 23.6 - Prob. 1PCh. 23.6 - Prob. 2PCh. 23.6 - Prob. 3PCh. 23.6 - Prob. 4PCh. 23.6 - Prob. 5PCh. 23.6 - Prob. 6PCh. 23.6 - Prob. 7PCh. 23.6 - Prob. 8PCh. 23.6 - Why are backward edges not considered in the...Ch. 23.6 - Prob. 10PCh. 23.6 - Prob. 11PCh. 23.6 - Prob. 12PCh. 23.6 - Prob. 13PCh. 23.6 - Prob. 14PCh. 23.6 - Prob. 15PCh. 23.6 - Prob. 16PCh. 23.6 - Prob. 17PCh. 23.6 - Prob. 18PCh. 23.6 - Prob. 19PCh. 23.6 - Prob. 20PCh. 23.7 - Prob. 1PCh. 23.7 - Prob. 2PCh. 23.7 - Which are the “bottleneck” edges by which the flow...Ch. 23.7 - Prob. 4PCh. 23.7 - How does Ford–Fulkerson prevent the formation of...Ch. 23.7 - Prob. 6PCh. 23.7 - Prob. 7PCh. 23.7 - Prob. 8PCh. 23.7 - Prob. 9PCh. 23.7 - Prob. 10PCh. 23.7 - Prob. 12PCh. 23.7 - Prob. 13PCh. 23.7 - Prob. 14PCh. 23.7 - Prob. 15PCh. 23.7 - Prob. 16PCh. 23.7 - Prob. 17PCh. 23.7 - Prob. 18PCh. 23.7 - Several sources and sinks. If a network has...Ch. 23.7 - Prob. 20PCh. 23.8 - Prob. 1PCh. 23.8 - Prob. 2PCh. 23.8 - Prob. 3PCh. 23.8 - Prob. 4PCh. 23.8 - Prob. 5PCh. 23.8 - Prob. 6PCh. 23.8 - Prob. 7PCh. 23.8 - Prob. 8PCh. 23.8 - Prob. 9PCh. 23.8 - Prob. 10PCh. 23.8 - Prob. 11PCh. 23.8 - Prob. 12PCh. 23.8 - Prob. 13PCh. 23.8 - Prob. 14PCh. 23.8 - Prob. 15PCh. 23.8 - Prob. 16PCh. 23.8 - Prob. 17PCh. 23.8 - Prob. 18PCh. 23.8 - Prob. 19PCh. 23.8 - Prob. 20PCh. 23.8 - Prob. 21PCh. 23.8 - Prob. 22PCh. 23.8 - Prob. 23PCh. 23.8 - Prob. 24PCh. 23.8 - Prob. 25PCh. 23.8 - Prob. 26PCh. 23 - Prob. 1RQCh. 23 - Prob. 2RQCh. 23 - Prob. 3RQCh. 23 - Prob. 4RQCh. 23 - Prob. 5RQCh. 23 - Prob. 6RQCh. 23 - Prob. 7RQCh. 23 - Prob. 8RQCh. 23 - Prob. 9RQCh. 23 - Prob. 10RQCh. 23 - Prob. 11RQCh. 23 - Prob. 12RQCh. 23 - Prob. 13RQCh. 23 - Prob. 14RQCh. 23 - Prob. 15RQCh. 23 - Prob. 16RQCh. 23 - Prob. 17RQCh. 23 - Prob. 18RQCh. 23 - Prob. 19RQCh. 23 - Prob. 20RQCh. 23 - Prob. 21RQCh. 23 - Prob. 22RQCh. 23 - Prob. 23RQCh. 23 - Prob. 24RQ
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