ASSOCIATE DEGREE IN ENGINEERING
EXAMINATIONS
SEMESTER 1 – 2009 DECEMBER
COURSE NAME: ENGINEERING MATHEMATICS 1-CALCULUS
CODE: [8 CHARACTER COURSE CODE]
GROUP: AD-ENG-2
DATE: "[EXAM DATE]"
TIME: "[TIME OF PAPER]"
DURATION: 2 HOURS
INSTRUCTIONS:
1. This paper consists of SIX questions.
2. Candidates must attempt ANY FOUR questions on this paper.
3. All working MUST be CLEARLY shown.
4. Keep all parts of the same question together.
5. The use of non-programmable calculators is permitted.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
AD-ENG 2009 1
, Instructions: Answer any FOUR (4) questions.
Question 1
(a) Evaluate:
4 x2
lim 2 [5 marks]
x 4 x
(b) Differentiate the following with respect to x:
(i) Cot ln 2 x [4 marks]
(ii) log 4 x 5
x
[6 marks]
Question 2
(a) Solve the linear equations by Gaussian elimination.
[10 marks]
(b) Determine the eigenvalues of the following matrix.
[5 marks]
AD-ENG 2009 2
EXAMINATIONS
SEMESTER 1 – 2009 DECEMBER
COURSE NAME: ENGINEERING MATHEMATICS 1-CALCULUS
CODE: [8 CHARACTER COURSE CODE]
GROUP: AD-ENG-2
DATE: "[EXAM DATE]"
TIME: "[TIME OF PAPER]"
DURATION: 2 HOURS
INSTRUCTIONS:
1. This paper consists of SIX questions.
2. Candidates must attempt ANY FOUR questions on this paper.
3. All working MUST be CLEARLY shown.
4. Keep all parts of the same question together.
5. The use of non-programmable calculators is permitted.
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
AD-ENG 2009 1
, Instructions: Answer any FOUR (4) questions.
Question 1
(a) Evaluate:
4 x2
lim 2 [5 marks]
x 4 x
(b) Differentiate the following with respect to x:
(i) Cot ln 2 x [4 marks]
(ii) log 4 x 5
x
[6 marks]
Question 2
(a) Solve the linear equations by Gaussian elimination.
[10 marks]
(b) Determine the eigenvalues of the following matrix.
[5 marks]
AD-ENG 2009 2
