Exam (elaborations)
MAT1581 Exam pack 2024(Questions and answers)
- Course
- MAT1581
- Institution
- University Of South Africa
MAT1581 Exam pack 2024(Questions and answers) With accurate answers and assurance that they are in the exam
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MAT1581 EXAMPACK 2024
QUESTIONS AND
ANSWERS
FOR ASSISTANCE CONTACT
EMAIL:gabrielmusyoka940@gmail.com
, lOMoARcPSD|46589353
UNIVERSITY EXAMINATIONS
MAT1581
Mathematics I (Engineering)
October/November 2022
Duration: 2 Hours 80 Marks
Examiners:
First: Ms L E Greyling
Second: Mr PT Malima
Use of a non-programmable calculator is permissible.
This is a closed book examination and IRIS invigilated.
This examination question paper consists of four pages (including the cover pages),
Five pages of formula sheets (pages 4 to 8) plus
One table of integrals (page 9).
Give answers to two decimal places where applicable and angles in radians where applicable.
Show steps in answers.
Examination rules:
1. Students must upload their answer scripts in a single PDF file (answer scripts must not be password
protected or uploaded as “read only” files).
2. NO emailed scripts will be accepted.
3. Students are advised to preview submissions (answer scripts) to ensure legibility and that the correct
answer script file has uploaded.
4. Students are permitted to resubmit their answer scripts within the allocated upload time should their
initial submission be unsatisfactory.
5. Incorrect file format and uncollated answer scripts will not be considered.
6. Incorrect answer scripts and/or submissions made on unofficial examinations platforms will not be marked
and no opportunity will be granted for resubmission.
7. Mark awarded for incomplete submission will be the student’s final mark. No opportunity for resubmission
will be granted.
8. Mark awarded for illegible scanned submission will be the student’s final mark. No opportunity for
resubmission will be granted.
9. Submissions will only be accepted from registered student accounts.
10. Students who have not utilised the IRIS proctoring tool will be subjected to disciplinary processes.
11. Students who have not utilized IRIS invigilation and proctoring tools will be deemed to have
transgressed Unisa’s examination rules and will have their marks withheld.
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Open Rubric
, lOMoARcPSD|46589353
- 2- MAT1581
October/November 2022
12. CSET Students must follow the guidelines for the IRIS proctoring tool. Audio, video and desktop
recordings must upload after the answer file is submitted.
Failure to do so will result in students deemed not to have utilised invigilation or proctoring tools.
13. Students must complete the online declaration of own work when submitting. Students suspected of
dishonest conduct during the examinations will be subjected to disciplinary processes. Students may not
communicate with other students, or request assistance from other students during examinations.
Plagiarism is a violation of academic integrity, and students who do plagiarise or copy verbatim from
published work will be in violation of the Policy on Academic Integrity and the Student Disciplinary Code
and may be referred to disciplinary hearing. Unisa has a zero tolerance for plagiarism and/or any other
forms of academic dishonesty.
14. Students are provided 30 minutes to submit their answer scripts after the official examination time.
Students who experience technical challenges during the official 30 minutes upload time must send an e-
mail from their myLife account with screenshots and a description to the module lecturer (in this case
lgreylin@unisa.ac.za) and also to Examenquiries@unisa.ac.za. If received and verified before the official
closing time contingency arrangements may be communicated. Queries received after an hour of the
official examination duration time will not be responded to. Submissions made after the official
examination upload time will be rejected by the examination regulations and will not be marked.
15. Non-adherence to the processes for uploading examination responses will not qualify the student for any
special concessions or future assessments.
16. Queries that are beyond Unisa’s control include the following:
a. Personal network or service provider issues
b. Load shedding/limited space on personal computer
c. Crashed computer
d. Using work computers that block access to myExams site (work
firewall challenges)
e. Unlicensed software (eg. license expires during exams)
Students experiencing the above challenges are advised to apply for an aegrotat and submit supporting
evidence within ten days of the examination session. Students will not be able to apply for an aegrotat for a
third examination opportunity. If this October 2022 examination is a supplementary or aegrotat you must
reregister for the module in 2023.
17. Students experiencing technical challenges should contact the SCSC on
080 000 1870 or via e-mail Examenquiries@unisa.ac.za or refer to the Get- Help resource for the list of
additional contact numbers. Only communication received from your myLife account w
considered Include screenshots of your problem.
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, lOMoARcPSD|46589353
- 3- MAT1581
October/November 2022
QUESTION 1
8
1
1.1 Given x write down the following terms in the expansion:
x
1.1.1 The first term. (1)
1.1.2 The middle term and simplify your answer. (4)
1.1.3 The last term. (1)
1.2 Find only z using Cramèr's rule given the following simultaneous equations:
x 2 y z 1
3x y z 4 (8)
y z 1
[14]
QUESTION 2
2.1 Express the complex number z 3 45 in exponential form. (2)
Z1
2.2 If Z1 5 cos
2 j sin 2 and Z 2 4 cos
3 j sin 3 find .
Z2
Leave the answer in polar form. (3)
2.3 Find the square roots of the complex number x if x 3 4 j (8)
2.4 Write down the radius and the co-ordinates of the center of the circle
x 4 2 y 32 16 . (3)
2.5 Write down the equation of the ellipse with center (0;0), one focal point at
(0;4) and one vertex at (0;5). (4)
[20]
QUESTION 3
3.1 Determine the following limits:
x2 9
3.1.1 lim using factorization. (2)
x 3 x 3
1 4x 1
3.1.2 lim using L’Hospital’s rule. (4)
x 0 3x
3.2 Differentiate the following with respect to x:
1
3.2.1 y cos2 3x . (3)
x
3.2.2 y x 3 1 x 2 2 x 1 using the product rule. (3)
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