Isnin, 28 Mei 2012

MATH PROJEK SEM2





TTTR1323 – MATEMATIK 2

SEMESTER 2 ( 2011 / 2012 )

PROJECT PART

LECTURER: PUAN NORAIDAH BT. SAHARI



Group Members:

1. LIM MEI TING                             TH     A138329
2. WONG CHEAU LING                 TH     A138531
3. GAN POH YEE                             TH     A138507
4. TAN CHU YING                           TH     A138513
5. TAN POI TING                             TH     A138519



TR1323 Students project
GROUP 4
Meeting Minutes 1


WONG CHEAU LING        A138531
TAN CHU YING                 A138513
TAN POI TING                   A138519
LIM MEI TING                   A138329
GAN POH YEE                   A138507





27th Feb:  - Find the group member of five for TR1323 Students project.
                -Downloaded the project from spin.
                -Interpreted and discussed about the constructive reasons why we are learning
                 TR1323

28th Feb:  -Find the information from internet and reference books.
                -Centralized the information we had found out. 
                -Arranged all the information in proper arrangement so easy to understand and read.
                -Typing all the information into Microsoft words.

29th Feb: -Send all the documents we had donned to all group members.
               -Print out the documents into hard copy.
               -Pass up the hard copy to ours lecturer.


TR1323 Students project
GROUP 4

Meeting Minutes 2


WONG CHEAU LING        A138531
TAN CHU YING                 A138513         
TAN POI TING                   A138519
LIM MEI TING               A138329
GAN POH YEE               A138507


5th March:       -Discussing the typed of product we want to choose.
-Starts finding the products.
                 

10th March:      -Capture the products.
                        -Draw the outline. 
                        -Discuss the function used.
                        -Surfing the internet to get more information of the function.


 18th March:    -Compile the findings.
                        -Complete the project paper.


TR1323 Students project
GROUP 4

Meeting Minutes 3


WONG CHEAU LING        A138531
TAN CHU YING                 A138513         
TAN POI TING                   A138519
LIM MEI TING                   A138329
GAN POH YEE                   A138507




4th April: - Discussing about what is mean by cross section of products.
   - Discussing what is mean by finding area of actual products.


8th April:-Surfing the internet to get more information about the way to find out the volume and cross section.
              - give out the idea how to find the cross section and volume by using integration.


14th April: -Start calculates the value of volume and cross section by different way.
                

20th April:-Compile the findings.
                 -Complete the project paper.
            

Definitions of Multimedia
            Multimedia is media and content that uses a combination of different content forms. Multimedia includes a combination of text, audio, still images, animation, video, or interactivity content forms. Multimedia is usually recorded and played, displayed or accessed by information content processing devices, such as computerized and electronic devices, but can also be part of a live performance. Multimedia also describes electronic media devices used to store and experience multimedia content. Multimedia is distinguished from mixed media in fine art; by including audio, for example, it has a broader scope. The term "rich media" is synonymous for interactive multimedia. Hypermedia can be considered one particular multimedia application.

Classifications of Multimedia
            Multimedia may be broadly divided into linear and non-linear categories. Linear active content progresses without any navigational control for the viewer such as a cinema presentation. Non-linear user interactivity to control progress as used with a video game or used in self-paced computer based training. Hypermedia(a computer-based information retrieval system that enables a user to gain or provide access to texts, audio and video recordings, photographs and computer graphics related to a particular subject) is an example of non-linear content. Multimedia presentations can be live or recorded. A recorded presentation may allow interactivity via a navigation system. A live multimedia presentation may allow interactivity via an interaction with the presenter or performer.

Model Product





paper cup

 



Figure 1: Model of the cup at x-axis
Figure 2: Outline of the cup

Equation of function for the selected product

Using (0, 2.6) and (11.5, 3.8) to the equation

   
 
(y - 2.6)(11.5)= 1.2x
y=










The cross‐section and volume of the product
Figure 1: Cross section for one part of cup




Figure 2: Cross section of Circle


Area of one part of the cup         =  
                                                                =
                                                                =
                                                                =
                                                                = 6.9 + 2.99
                                                                = 36.8cm2
 Cross section of cup       = Area of one part of the cup * 3
                                                = 36.8 cm2 * 3
                                                = 110.4 cm2
Cross section of circle     =
                                                =  (2.6)2
                                                = 10.619 cm2
Total cross section           = Cross section of cup + Cross section of circle
                                                = 110.4 cm2 + 10.619 cm2
                                                                        = 121.019 cm2















Figure 2: Volume of the cup
Figure 3: Interior volume of the cup

Volume of A =
                                =
                                =
=
=
=
=

Volume of B =
                                =
                                =
                                =
                                =
                                  
                                =
                                = 348.472

Volume of cup = Volume of A – Volume of B
=   – 348.472
                                = 25.82













The Actual  Product

Area of object = 122 cm2

Volume of object = 242 cm2 x 0.1 cm2 = 24.2 cm3



Conclusion
 The actual volume of paper cup is 24.2cm3 and the volume of paper cup by using calculation is 25.82cm3, (25.82c  – 24.2c ) there is 1.62c  This may influence by the  thickness of the paper cup that we ignored in calculation.     


Final Conclusion
        
In TR1323(Calculus), we have to finish a project regarding the topic of calculus. From Part I, we have given the constructive reasons why we need to learn TR1323. Hence, we know that the definition of multimedia and examples about multimedia to support our definition. Besides that, we also show a relevancy of TR1323 to the multimedia and give an example. Thus, we can know that multimedia is relevant to TR1323.
            From Part II, we have chosen a product which is a paper cup. We have captured the paper cup for the calculation uses in next calculation. The outline of paper cup is drawn in order to identify the shape using to combined become a paper cup. The shape or outline of the paper cup is modeled by using single function. We use the function   and the value or length of paper cup (0, 2.6) and (11.5, 3.8) to form a new function. The function is 
 y=

            From Part III, we have used the knowledge that learnt in TR1323 to find the cross section and volume of the paper cup.  First, we use the formulae integration     to calculate the area of one part of the paper cup. We assumed that the body of paper cup consists of 3 parts. So, we need to calculate one part of the paper cup then multiple with 3. Therefore, the area of one part of the paper cup is 36.8 cm2 and multiple with 3 is 110.4cm2. After that, we have to sum up the cross section of body paper cup and the cross section of circle. Next, we use formula    to calculate the value of cross section of the paper cup. The value calculated is 10.619cm2. We get the values of 121.019cm2.
After that, we use the formulae of volume to calculate the volume of paper cup. We assigned two part of volume which is volume A and volume B. The formulae for volume A is    while the formulae of volume B is   . Then, we subtract the volume of A (   from volume B (348.472 ) and get the volume of paper cup which is 25.82cm3.
To verify the answers that we calculated for area of paper cup and volume of paper cup, we use a graph. We draw the actual outline of paper cup in the graph (1cm x 1cm) to count the units of outline of paper cup in the graph. After counted, we get 122 units which are 122cm2 for the area of paper cup. While, 242 units which is 242cm2 and this value is multiple with 0.1cm2 to get the volume of paper cup which is 24.2cm3.
By comparison, the actual area of paper cup is 122cm2 and the answer we calculated by formulae is 110.4cm2. The difference of both values is +11.6cm2. For the actual volume of paper cup we count, we have the volume of 24.2cm3 and the answer we calculated by formulae is 25.82cm3. The difference of both of the values is -1.62cm3.
In conclusions, we are able to choose an object to calculate the area and volume of the objects. Then, we also able to compare the actual value of objects and the values that calculate by using the formulae. Besides that, we have relevant the multimedia and TR13223 in this project successfully.