MAT1581
University of South Africa
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MAT1581 Assignment 3 Memo (COMPLETE ANSWERS) Due 5 August 2025
- Exam (elaborations) • 7 pages • 2025
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Question 1: 6 Marks Determine the following limits: (1.1) lim (3) x→−1 x3 − 2 x4 + 4x − 3 (1.2) lim (3) x→3 x3 − 8 x2 − 4 Question 2: 22 Marks Differentiate the following to the appropriate independent variable and simplify where possible: (2.1) y = (4) 1 x − √ cos x (2.2) y = (x3 + 2)(x2 − 2x + 1) (6) (2.3) y = (6) √ 1 + tan2 x sec2 x (2.4) y = ln ex (6) x − 2 x + 3 34 Question 3: 4 Marks The loading distribution y on a beam is given by y = −25x2 + 45x. Question 4: ...
MAT 1581 EXAM PACK.,,DETAILED QUESTIONS AND ANSWERS
MAT1581 EXAM PACK.,,DETAILED QUESTIONS AND ANSWERS
MAT1581 EXAM PACK 2025{DETAILED QUESTIONS AND ANSWERS}
MAT1581 EXAM PACK 2025{DETAILED QUESTIONS AND ANSWERS}
MAT1581 EXAM PACK 2025{DETAILED QUESTIONS AND ANSWERS}
MAT1581 Exam pack 2024(Questions and answers) 
 
With accurate answers and assurance that they are in the exam
MAT1581 Assignment 
3 Semester 2, 2023.Detailed working, solutions, memo, notes & explanations.
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MAT1581 Assignment 3 Semester 2, 2023.
- Exam (elaborations) • 8 pages • 2023
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- R47,21
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MAT1581 Assignment 3 Semester 2, 2023.100% TRUSTED Answers, guidelines, workings and references.QUESTION 1 
Determine the following limits: 
1.1 
2 
3 0 
3 4 lim 
x 2 
x x 
 x 
 
 
(2) 
1.2 2 1 
limx 1 
n x 
 x 
 (3) 
 [5] 
QUESTION 2 
Determine 
dx 
dy of the following and simplify if possible: 
2.1 yx x cos5 (2) 
2.2 2 
y xx 4 (3) 
2.3 3 sin x y n e (3) 
 [8] 
QUESTION 3 
Determine the gradient of the curve 2 
2 
5 
x 
y 
x at the point...
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