Sleeping Patterns Essay

1230 Words May 2nd, 2015 5 Pages
FINAL SEMESTER EXAMINATION
(MAY 2012 SESSION)
MATHEMATICS I
FMT0013
LECTURER :……………………………………………………………………………
MATRIC NO

: ………………………………………….

VENUE

PROGRAMME : ..……………………………………

: ………………………………………….

OCTOBER 2012

DURATION : 3 HOURS

INSTRUCTIONS:

1. Candidates must read all questions carefully.
2. The examination script consists of the followings:
Part
A

Types of
Questions
5 Short Answers

B

3 Short Answers

Instruction
Answer ALL questions Answer TWO (2) questions ONLY

Answer Sheets to be
Used
Answer booklet
Answer booklet

THIS EXAMINATION SCRIPT CONTAINS 7 PAGES INCLUDING THE FRONT COVER

DO NOT OPEN THE EXAMINATION SCRIPT UNTIL FURTHER INSTRUCTION

PART A

CONFIDENTIAL

FMT0013
…show more content…
(
(4 marks)

3.

(a)

Find the number of terms in each of the following arithmetic sequence:
3.2, 4.3, 5.4, ..., 31.8

(2 marks)
(b)

The second and fifth terms of a geometric sequence are -12 and 324 respectively. Find the seventh term.
(3 marks)

(c)

Expand 1

2x

10

in ascending powers of x , up to and including the 4th term.
10

Hence, evaluate 1 . 0002

, correct to four decimal places.
(5 marks)

1

4.

(a)

Given the matrix Q

2

1
3

1
0 . Find the value of Q .

1
1

1

(2 marks)

(b)

2

Given
R

1

3

x

0

i.

x
4

2

and R

25

.Find

5

1

3

the value of x .
(3 marks)

ii.

the adjacent of R .
(4 marks)

iii.

inverse of matrix R .
(2 marks)

(c)

By using matrix Q in question 4(a) and matrix R in question 4(b), find matrix
1
P so that QR

P

4
2

0

1
2 .

1
1

1

(4 marks)

5.

(a)

Given two points A (5,2) and B(-4,-5). Find
i.

gradient , m AB

FMT0013 MATHEMATICS I

2/6

CONFIDENTIAL

FMT0013
(2 marks)

ii.

the equation of straight line that passing through points A and B in general form
(2 marks)

iii.

the equation of straight line that passing through points A that is parallel to the line 2 x

3y

5

.

2

(2 marks)
(b)

Functions f and g are defined by :
(x ) f 2 x g x) 4
(

x

2

Evaluate
i.

h

gf

(2 marks) ii. fg

1
3

(3 marks)

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