Exam (elaborations)
Introductory Mathematical Analysis A Semester Test 1 MEMO 2023
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- University Of Johannesburg (UJ)
Introductory Mathematical Analysis A Semester Test 1 MEMO
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FACULTY OF SCIENCEDEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
MODULE MAA00A1
INTRODUCTORY MATHEMATICAL ANALYSIS
CAMPUS APK
ASSESSMENT MAA00A1 SEMESTER TEST 1
DATE: 17 APRIL 2023
ASSESSOR(S) DR L. JOEL
DR L. MATSEBULA
MR M. HASSEN
DR M. JUGA
MR S. MALLU
MODERATOR MR T. MOHUBEDU
DURATION 90 MINUTES MARKS 45
SURNAME AND INITIALS
STUDENT NUMBER
CONTACT NUMBER
NUMBER OF PAGES: 1 + 11 PAGES
INSTRUCTIONS:
1. ANSWER ALL THE QUESTIONS ON THE PAPER IN PEN.
2. CALCULATORS ARE ALLOWED.
3. SHOW ALL CALCULATIONS AND MOTIVATE ALL ANSWERS.
4. IF YOU REQUIRE EXTRA SPACE, CONTINUE ON THE BACK BLANK PAGE AND INDICATE
THIS CLEARLY.
, MAA00A1 SEMESTER TEST 1 2023 1/11
Question 1 [15 marks]
For questions 1.1 - 1.15, choose one correct answer, and make a cross (X) in the correct block.
Question a b c d
1.1 X
1.2 X
1.3 X
1.4 X
1.5 X
1.6 X
1.7 X
1.8 X
1.9 X
1.10 X
1.11 X
1.12 X
1.13 X
1.14 X
1.15 X
a x−1 x−3
b
1.1 If = , then the value of x is (1)
b a
1
(a)
2
(b) 1
(c) 2
7
(d)
2
1.2 Solve for x
2 + log2 4 = 3x − 1
(1)
3
(a)
5
4
(b)
3
5
(c)
3
3
(d)
4
1.3 Factorize (x + 8)4 (x + 2)3 − (x + 8)3 (x + 2)4 (1)
(a) 10(x + 8)3 (x + 2)3
(b) 6(x + 8)3 (x + 2)3
(c) 8(x + 8)3 (x + 2)3
(d) 2(x + 8)3 (x + 2)3
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