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BAHAGIAN PENDIDIKAN GURU

KEMENTERIAN PELAJARAN MALAYSIA

INSTITUT PENDIDIKAN GURU MALAYSIA

KAMPUS TUANKU BAINUN

14400,BUKIT MERTAJAM,PULAU PINANG.

MATHEMATICS 1

KURSUS PERGURUAN LEPASAN SIJIL PELAJARAN MALAYSIA

(SEMESTER 1 / 2010)

COURSEWORK MATHEMATICS 1

NAME : MUHAMMAD NAZRIN BIN CHE YA (920908-08-6329)

OPTION : 1 KPLSPM MATH/PI/BM

LECTURER : MR. LAU TUN KONG

NAME : MUHAMMAD NAZRIN BIN CHE YA

UNIT : MATHEMATICS

LECTURER : MR. LAU TUN KONG

DECLARATION

We certified that the attached assignment is our original work and there are no part of this assignment had been copied or reproduced from any person`s work without acknowledgement. We agree for the department to keep the

copy of our assignment for database.

Student`s signature:

Date submitted:25 August 2010

NO Title1 Declaration2 Introduction3 Objective4 Question5 Solution6 Questionnaire form7 Conclusion

On 9 August 2010, Mr Lau Tun Kong had given us an assignment about

indices, surds and logarithms. This is an individual tasks and its marks is 20 %. In

the assignment we need to solve a 4 related question.

All the question are related to indices , surds and logarithms. So we need to

apply what we already learn to solve the question.

Discussion between our classmates help me to complete the assignment on time

and the question in this assignment help me to understanding more on the topics

indices,surds and logarithms.

I. To enhance students` mastery skill of related to indices, surds and logarithms;

II. To enable students to apply knowledge of indices, surds and logarithms in

solving daily problems, and

To enhance relevant knowledge and skills through various resources such as books

and internet.

Given that in a cell duplication experiment in the science laboratory,you begin with

one cell and the cell will double every minute.

a) Draw a diagram to illustrate the cell duplication for the first 4 minutes

b) Write a function to denote the size of the population after t minutes.

c) By using the function , determine the cell population after half an hour.

d) Determine how long it would take the population to reach 50000 cells.

2 (a) = one cell

1 minutes

2 minute

3 minute

3 minute

4 minute

2(b ) At the first minute the cell is 1

Common diferrence is = 8 ÷ 4

= 2

So the function to denote the size of the population is = 2^t #

2 (c) Half an hour = 30 minutes

2 ^ t = 2 ^ 30

= 1073741824

The cell population after half an hour is = 1073741824 #

2 (d) 2 ^ t = 50000

2 ^ t = log 50000

t (log 2) = log 50000

t = log 50000

log 2

t = 15.6096

t = 15.6096

t = 15.6096 minutes

Time for the population to reach 50000 cells = 15.6096 minutes #

For the conclusion ,this assignment help me to understand more about indices,

surds and logarithms.Thank to my lecturer ,Mr Lau Tun Kong that help me to

complete this assignment.

Also thank to all of my friend that help me to complete this assignment.Lastly

I want to say that this assignment help me a lot to understand more in the topic that

very hard to understand.