TECHNICAL UNIVERSITY OF MOMBASA
A Centre of Excellence
Faculty of Applied & Health Sciences
DEPARTMENT OF MATHEMATICS AND PHYSICS
SEPTEMBER 2018 SERIES EXAMINATION
AMA 4160: PURE MATHEMATICS
BTEE
TIME ALLOWED: 2 HOURS
INSTRUCTIONTO CANDIDATES:
You should have the following for this examination
- Mathematical tables
- Scientific Calculator
This paper consists of FIVE questions
Answer question ONE (COMPULSORY) and any other TWO questions
Maximum marks for each part of a question are as show
QUESTION ONE (30 MARKS) COMPULSORY
4.87
(a) Solve the equation 2.68 = ln ( ) (3 marks)
𝑥
(b) The universal set U is defined as a set of positive integers less than 10. The subsets A and B
are defined as
A = {integers that are multiples of 3}
©Technical University of Mombasa Page 1 of 4
A Centre of Excellence
Faculty of Applied & Health Sciences
DEPARTMENT OF MATHEMATICS AND PHYSICS
SEPTEMBER 2018 SERIES EXAMINATION
AMA 4160: PURE MATHEMATICS
BTEE
TIME ALLOWED: 2 HOURS
INSTRUCTIONTO CANDIDATES:
You should have the following for this examination
- Mathematical tables
- Scientific Calculator
This paper consists of FIVE questions
Answer question ONE (COMPULSORY) and any other TWO questions
Maximum marks for each part of a question are as show
QUESTION ONE (30 MARKS) COMPULSORY
4.87
(a) Solve the equation 2.68 = ln ( ) (3 marks)
𝑥
(b) The universal set U is defined as a set of positive integers less than 10. The subsets A and B
are defined as
A = {integers that are multiples of 3}
©Technical University of Mombasa Page 1 of 4
