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Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 3
10 August 2011
Section A (25 marks)
1
t
1
1+
=
2
2
t+ 1+t
1+t
1 + t2
sin
(b) g () =
1 + cos2
2x2
dy
(c)
= (3 + x2 )x ln(3 + x2 ) +
dx
3 + x2
Use logarithmic dierentiation: ln y =
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 4
27 September 2011
Section A (30 marks)
1.
2
x
x
2
5
= x10 10x7 + 40x4 80x + 80x2 32x5
2. (a) u v = 14
(b) u v = (3, 1, 2)
14
14
(c) cos = =
15
35 6
(d) (x, y, z) = (1, 2, 1) + t(2, 3
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 3
10 August 2011
Time : 17h30 19h00
Full marks: 50
Calculators are not allowed. When your answer contains constants such as , e, ln 2
or 3, leav
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 2
18 April 2011
Time : 17h30 19h00
Full marks: 55
Calculators are not allowed. When your answer contains constants such as , e or
2, leave them
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 4
27 September 2011
Time : 17h30 19h00
Full marks: 55
Calculators are not allowed. When your answer contains constants such as , e, ln 2
or 3, l
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 2
Solutions and comments
Section A (30 marks)
18 April 2011
1. (a) f (t) = e2t cosec t cot t 2e2t cosec t
(b)
dy
3x ln 3 + 10x4 + x2
=
dx
2 3x + 2x5 1/x
d2
(c)
[tan ] = 2 sec2 tan
2
d
[Student Number: l J
_'Ettittl HE it
First Name(S):
Department of Mathematics and Applied Mathematics
MAMIGOOW
Test 3 25 May 2016
Time : 17h00 19h00 Full marks: 82
a This question paper consists of 9 pages (including this one).
0 Answer all qu
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 2
4 May 2016
Time : 18h30 20h30
Full marks: 90
This question paper consists of 11 pages (including this one).
Answer all questions in the spaces prov
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 1 (Decant Test)
11 March 2015
Time : 17h30 19h30
Full marks: 80
This question paper consists of 14 pages (including this one).
Answer all questions i
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 3
25 May 2016
Time : 17h00 19h00
Full marks: 82
This question paper consists of 9 pages (including this one).
Answer all questions in the spaces prov
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 4
17 August 2016
Time : 18h30 20h30
Full marks: 80
This question paper consists of 10 pages (including this one).
Answer all questions in the spaces
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Supplementary Examination: Paper 2
January 2016
Time : 2 hours
Full marks: 100
This question paper consists of 17 pages (including this one).
Answer all q
Department of Mathematics and Applied Mathematics
MAM1000W
Tutorial 17
Answers and some solutions
August 2016
Extra Problems 17
1. (a) Use the definitions, expand the squares and simplify.
d
d
(b)
[sinh x] = cosh x,
[cosh x] = sinh x.
dx
dx
(c) The length
MAM1000W
Class Test 1, Page 1 of 2
1 March 2010
University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Class Test 1
1 March 2008
Time: 1.5 hours
This is a multiplechoice test consisting of 20 questions. Your student number and
University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Class Test 2
13 April 2010
Time: 90 minutes
Full marks: 50
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continu
MAM1000W
Class Test 5, Page 1 of 2
18 August 2010
University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Class Test 5
18 August 2010
Time: 1 hour 30 minutes
Your student number and your answer to each question must be carefully
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Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 1
14 March 2011
General comments
1. In Section A you had to give answers only. In the solutions below, more detail is
given to help you understand where you may have gone wrong.
2. In S
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Class Test 1
14 March 2011
Time : 17h30 19h00
Full marks: 55
Calculators are not allowed. When your answer contains constants such as , e or
2, leave them
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University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Sample for Class Test 2
13 April 2010
Time: 90 minutes
Full marks: 50
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answ
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University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Final Exam Paper 1
2 November 2010
Time: 2 hours
Answer the questions in the spaces provided on the question sheets, or at the
back of the exam. Show all your work; answers
University of Cape Town
Department of Mathematics and Applied Mathematics
MAM1000W Deferred/Supplementary Exam Paper 1
January 2011
Time: 2 hours
Answer the questions in the spaces provided on the question sheets, or at the
back of the exam. Show all your
University of Cape Town
Department of Mathematics and Applied
Mathematics
MAM1000W Supplementary/Deferred
Exam Paper 2
January 2011
Time: 2 hours
NOTES
There are 4 pages (not including this cover page), with a total of 25
questions.
Your student number