Posted: September 8th, 2022

MATHEMATICS 511 FACULTY OF INFORMATION TECHNOLOGY

J) RICHFIELD
MATHEMATICS 511 FACULTY OF INFORMATION TECHNOLOGY
Identify & Surname:ICAS / ITS No:
Qualification:Semester:Module Identify:
Date Submitted:
ASSESSMENT CRITERIA MARK ALLOCATION EXAMINER MARKS MODERATOR MARKS
MARKS FOR CONTENT
QUESTION ONE
1.1 10
1.2 10
1.three 10
1.Four 10
1.5 10
1.6 20
1.7 10
1.eight 10
1.9 10
TOTAL MARKS FOR ASSIGNMENT 100
Examiner’s Feedback:
Moderator’s Feedback:
Signature of Examiner: Signature of Moderator:
ASSIGNMENT INSTRUCTIONS
1. All task have to be typed, not handwritten.
2. Each task ought to embody the quilt web page, desk of contents and a reference record or bibliography on the finish of the doc
three. A minimal of 5 present sources (references) needs to be utilized in all assignments and these ought to mirror in each in-text citations in addition to the reference record or bibliography
Four. In-text citations and a reference record or bibliography have to be supplied. Use the Harvard Model for each in-text citations and the reference record or bibliography
5. Assignments submitted with out citations and accompanying reference lists might be penalised.
6. College students should not allowed to share assignments with fellow college students. Any shared assignments will appeal to stiff penalties.
7. The usage of, and copying of content material from web sites reminiscent of chegg.com, studocu.com, transtutors.com, sparknotes.com or every other assignment-Helpance web sites is strictly prohibited. This additionally applies to Wiki websites, blogs and YouTube.
eight. Any photos and diagrams used within the Project needs to be correctly labelled and referenced.
9. Appropriate formatting as indicated on the Cowl Web page needs to be adopted (font-size 12, font-style Calibri, line spacing of 1.zero and margins justified)
10. All Assignments have to be saved in PDF utilizing the proper naming-convention earlier than importing on Moodle. Eg StudentNumber_CourseCode_Assignment (402999999_WBT512A_Assignment).
QUESTIONS
MARKS
1.1 Assemble the reality desk of the given compound proposition
(PV q) A (q V s) ^ (—r V p) A (q V s) [10]
1.2 Use solely the property of the logical equivalences to show that
(P ^ — q)A(p^ — r) = —(p A (q V r)) [10]
1.three Assemble a combinatorial circuit utilizing inverters, OR gates, and AND gates that produces
the output ((—p V —r) A —q) V (—p A (q V r)) from enter bits p, q and r. [10]
1.Four Given the U = and
A = 23,24,25,26,27
B = 21,25,27,29
C =
D = 22,24,26,28.
Discover
a. Ac nBc [2]
b. (Four u C) n (B u D) [2]
c. (A — D) U (B — D) [2]
d. (A n C)c U (B U D)c [2]
e. (D — C) n (B — Four)c [2]
1.5 a. In an arithmetic development the sum of the primary ten phrases is 400 and the sum
of the subsequent time period is 1000. Discover the frequent distinction and the primary time period. [5]
b. The seventh time period and the twelfth time period of an arithmetic development are 28 and
73, respectively.
i. Discover the primary time period and the frequent distinction of the development.
ii. Calculate the sum of the primary forty phrases of the development. [5]
1.6 Clear up the next equation utilizing 7% – 8y + 5z = 5
—4x + 5y — 3z = —three
x — y + z = zero
a. Crammer’s rule
b. Inverse Methodology
13
1.7 2 1
40
—1
13
03
—three 7
7
1
1
Discover the matrix A.
[10]
[10]
[10]
x-Four
1.eight Given: f(x) = 3x + ok and g(x) = —— For what worth of ok is f(g(x)) = g(f(x))
[10]
1.9 Clear up the touring salesperson drawback for this graph by discovering the entire weight of all Hamilton circuits and figuring out a circuit with minimal whole weight. [10]
? three j5

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