Wednesday, November 9, 2011

SILA HANTAR SEGERA!!

Kepada pelajar-pelajar berikut, sila hantar Tugasan dengan kadar segera...

Group Discussion 2 (Integration)

1. Jazairi B Jaffar (04DKA10F2062)
2. Muhammad Amin B Che Husain (04DKA10F2095)
3. Mohd Azmi B Sellah (04DKA10F2122)

Group Discussion 3 (Application Of Integration)

1. Muhammad Amin B Che Husain (04DKA10F2095)
2. Mohd Azmi B Sellah (04DKA10F2122)

3. Muhammad Khairul Hakimi B Rosli (04DKM10F2045)
4. Mohd Ibtisyam B Mohd Zainudin (04DKM10F2057)

Tuesday, November 8, 2011

Solution for...

A wire length 4 meters is bent to form a rectangle. Find the measurement of its sides so that the rectangle has a maximum area.

Solution:

Perimeter:

2a+2b=4………(i)
a=(4-2b)/2
=2-b………(ii)

Luas:

A=ab………(iii)

Substitute (ii) into (iii)
=(2-b)b
=2b-b^2

Untuk dapatkan maximum area,

dA/db=2-2b
dA/db=0
2-2b=0
b=1

a=2-b
=2-1
=1

(d^2 A)/(db^2 )=-2

∴ maximum area with a=1,b=1.

Sunday, October 30, 2011

Revision Question

Pelajar-pelajar yang dikasihi....

Anda sudah boleh download & print soalan ulangkaji dalam Revision.
Semua chapter dah ada jadi rajin2 lah print, jangan sia-sia kan usaha saya mencari soalan untuk anda.
Final dah dekat dah jadi rajin2 lah jugak buat ulangkaji...
Semoga anda semua lulus dgn jayanya....GOOD LUCK...

Monday, October 17, 2011

INTEGRATION

Why do we need to study Integration?


petronas towers
The Petronas Towers
of Kuala Lumpur
Often we know the relationship involving the rate of change of two variables, but we may need to know the direct relationship between the two variables. For example, we may know the velocity of an object at a particular time, but we may want to know the position of the object at that time.
To find this direct relationship, we need to use the process which is opposite to differentiation. This is called integration (or antidifferentiation).
The processes of integration are used in many applications.
The Petronas Towers in Kuala Lumpur experience high forces due to winds. Integration was used to design the building for strength.


sydney opera house
Sydney Opera House
The Sydney Opera House is a very unusual design based on slices out of a ball. Many differential equations (one type of integration) were solved in the design of this building.



winecask
Wine cask
Historically, one of the first uses of integration was in finding the volumes of wine-casks (which have a curved surface).

Other uses of integration include finding areas under curved surfaces, centres of mass, displacement and velocity, fluid flow, modelling the behaviour of objects under stress, etc.
Untuk makluman semua,

Quiz 4 akan diadakan minggu depan (23 Oct -27 Oct), sila bersedia.
Jangan lupa ulangkaji...
Selamat Datang ke Blog BA 201 ENGINEERING MATHEMATICS, Jabatan Matematik, Sains & Komputer, Politeknik Kota Bharu. Blog ini dihasilkan sebagai laman utama bagi pelajar mengetahui perkembangan terkini berkenaan dengan kursus ini.