12
-@-,-@ @¾°f°f½ffn¾n¾ n°¾n¾°¾½nnf°¾ff ¾¯°¯@¾ ¾nf°¾n¾f ¯¯¾°@¾¾ fnn¯½¾nf¾f¾¾f½½¾¾ ¾½¾°¯¾° °ff¾¯°¯¯½¾¾¾ ¯¾nf°°¯f ½ffn¾¾°¾ f°n°°n°°° °n°¯fn¾ ½fff@¯f¯¯¾¯f¯¯ ½°½fffn¾fnff ¾@¾½fff¾¾°¾ ½¾¾%f ++nn¾°f¯ ½fff ¯°f¾ ¾nf°°n°¾¾fn ¾¯½¾°nf°¾f n¾f¾f°n°n½n@° n ½°%f %f% +%+ %f+ f+ ½°%f %f% +%+ %f+ f+ %°f° ¯f°¾¯°f°¯¾f f $ (f$ -°¾¾°f°f % $+ $+ $( @°¾¾f°°ff° % $+ @°°ff°½fff fn°¾n°¾fn ¯ @¾f°¾½°° ¾°°½°n°n¾

MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

Embed Size (px)

Citation preview

Page 1: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 1/12

-@-,-@

@¾�°�f°�f½ffn�¾n¾

n°¾n¾°�¾½n�nf°¾ff

f¾¾¯°�f°¯@�¾

¾nf°f°�¾n¾ff°�

�¯¯f¾¾°@¾¾

fnn¯½¾nf¾�f¾n¾f°¾f½½¾¾

¾½¾°¯�¾°�

°�ff¾¯°¯¯½¾¾�¾

¯¾�nf°�°�¯f�

½ffn¾f½��¾°�¾f½��

f¾f�°n°°n°��°�°�

#¾�°f°n°¯fn¾

�½fff@¯f¯¯�¾¯f¯¯

½°�½fffn¾fnf�f

¾@¾½fff¾¾°f°¾

½¾¾f¾�%f++nn¾�°f�¯�

f°½fff

¯�f½f°�°f¾�f°

¾nf°�°n°¾f°¾ff°n

¾¯½¾°��f½nf°¾f�f½

n¾f¾f°n°n½n@°

n

½°%f

�%f%+%+

%f+

f+

½°%f

�%f%+%+

%f+

f+%°�f°

¯f°¾�¯°f°¯¾�f

f

$(f$

-°¾¾°�f°f

%$+

$+

$(

@°¾¾ff°°�°ff°

�%$+

@°°ff°�½fff�

�fn°¾n°�¾fn

¯

@¾f°¾½°�f¾°�f½

¾f°°°�½°n°n¾

Page 2: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 2/12

-�°�f°°¯°�¯�

fnf°¾¯¾¯f¯¯f�°¾

¯f¯¯¯�¾�°°�¯f¯¯�°ff

@¾ffnf°f°°f�f½°�°�

f

°nf¾fn°°�

¯�f°�°�°¾½n�nf°¾

%Znf°¾�°f°½¾¾°��°n�½ffff°°n�¯�n

@¾¾°�°�f

Jfn

-°�°ff°°¯¾�¾°°

f�°n°�½fff½¾¾°¯¾�

f°n¾

�½°%f

�%f++

f+

(f

½°%f

�%f++

f+

$f+

$ff%¾°�½fn

f$

(f$

-�°°¯¾�f½fn°

°�°�f

f

%$

$

J°½fn°�ff°n°½fff�°f

f°f�%$+$Z%

-nf°¾¾�nnf�¯

¾n¯½f°�¾¾f�°°�¾

�%$+$

�%$+

¾°�n¯½°�¾ff

%

%+

%b%+bbbb

%b%+b $

(Ib

°f¾¾�°f¾f¾°f°

¾nf°f¾¾¾°�ffnf°

,%fn,%

%%

f

,Ib

¾¾nf°nf¯f°¾�ff½n¾

fnf¾°�½°¯ff°½°¾

°¯f¯¯½¾¾ff¾°

¯f%$%+%

¯f¯

¾¾¾¾¯f°¾�f�f½n

¾f¾�°n°�f°¾¯f¯¯½°

¯f¯¯¯¾½n�¾¯f¯¯fff°

°�n¾¯

I¯f¯f%

I¯f%%

I¯f¯

Page 3: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 3/12

Jn¾fn¾f¯�¯fff�°�

¯

-nf°½n�°ff��°�

n¾°�¾f¯�¯f¾�

%%�

%%$+$

%$+%$+%

$%$

$++$$

$$+

($$+Z%

@�°¯f¯¯½¾¾fff�°¾

¯f¯¯½°@¾f��°ff°

�°f��n#¾

#$$+

#$$+

$$+

%$$+

%$$+%¯½

+

@¾¾f°¾n¯½°�¾f

¯

%

%+

%b%+bbbb

%b%+b

(Ib

@°f¾°nf�f°¾�°f¾f¾

°f°

@°¯f¯¯ff¾°

¯f%$%$+%

¯f%%$%$+%

¯f%¯

-¾�n¯f½fn¾°f°

¾f¯f°¾f°�°

¯f%

¯f¯

n¯f¾�f��°n�¯n

°¯½°��°¯¯

@¾f¾�f°°¾f°

¯f°�f¾½n¾f¾½¾¾

@°¯f¯¯f¾

I¯f%%

I¯f%¯

-°¾½nf°�°¾°�

¾½fn�°�nf°�°f�¯

f¾¾½fnf¯���n

@¾�¾f�°¯�°

°�%If

@f¯�°�nf°�°�¾

�°°�ff°n¾½ffff°f¾@¾¾°°�f°��¯f�½fff

+

+

%%

+

%+%

+

@°f¯¾½n�ffff°

°�n¾¯

I@@%%¯

@I¯f¾¾��°n°f

¯f°¯f¯¯¯�n

IJ@

IJ@¯

@°f¾�°f¾

/

@@

@@

@@

@@

@@

@@

Page 4: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 4/12

@¯f¾¾°�¯¾

@�°�f¾f¾��°f¾�f°¾

n¾½°°f�¯f¯¯¯f°f¾

¯@¾ff¾°¾°�nf°n¯½°�

�¯f¾�°°fnn¯°

¾nf°¾°�¯fff¾�°nf¾¾

¯f¯¯¯f°f¾¯°nf¾¾

½½°f��f�

f¾¯¯f¯¯¯¾¾f¯

-�°f¯f¯¯��n�ff�

n¾�°°f¾¯f¾�°f

¯°¯¯��f¯°f½n°�¾¯

°¯f¯¯ff¾°n¾¯f

@°f�°f��n�%

�%$+$

$+$

$+$

+%J¯½

+$%J

n¯½°�¾ff

%

+

+%$

%%$

%+b%%%$%b%%%$(b%%$+b%%$

b%%$+b%%$

Jnf°f¾¾¾¾°�ffnf°

,%fn,%

%%$

f

,%$,%%%$

,%%%$,%%%

$

@�°�nf�°

��°n°f°

Jn

Jn+,%%$%,%%

$Jn+,%%$

,%%$Jn,%%$

,%%$

Jn,%%$

Jn,%%$

@ff�n¾½n���°n

°f°f°°�n¾¯

¯f�%,%%$%

¯f�,%%$

@�°�f¾f¾f¾�°nf¾

�ff°nf¾¾

�%$+$

%%%%

Jn

,%%$

(,%%$+,%%$

Page 5: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 5/12

@�°�¾f¾�f½��°n°� f�

��fsf¾½fnf°�°�°°�¾

�f¾¯�nnf°�°°

¾f¯ff¾�-f¾°°

f°¯

Jfn

-°�°ff°°¯¾�¾°°f�°n°�½fff½¾¾°¯¾�

f°n¾

�½°%f

�%f++

f+

(f

½°%f

�%f++

f+

$f+

$ff%¾°�½fn

f$

(f$

-�°°¯¾�f½fn°

°�°�f

f

%$

$

J°½fn°�ff°n°½fff�°f

f°f

�%$+$Z%

-nf°½n�°ff��°�

n¾°�¾f¯�¯f¾�

%%�

%%$+$

%$+%$+%

$%$

$++$$

$$+

($$+Z%

@�°¯f¯¯½¾¾fff�°¾

¯f¯¯½°@¾f��°ff°

�°f��n#¾

#$$+

#$$+

$$+

%$$+

%+%¯½

+%

@¾¾f°¾n¯½°�¾f

¯

%

%+

%b%+bbbb

%b%+b

(Ib

@°f¾°nf�f°¾�°f¾f¾

°f°

@¾nf°f¾¾¾°�ffnf

,%fn,%%%

f

,IbIb

%%

¯

Page 6: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 6/12

@¾¾nf°nf¯f°¾�ff½n¾

fnf¾°�½°¯ff°½°¾

@°¯f¯¯½¾¾ff¾°

¯f%$%

$+%

¯f%%$%

$+%

¯f%¯

@¾¾¾n°f¾¾�nff¾�

°�°nf¾¾ff°n¾½fff

°nf¾¾f°¾ff��°�n

°nf¾¾

@°¯f¯¯¯¾½n�¾¯f¯¯

fff°°�n°¾nf¾¾¯

I¯f¯f%

I¯f%%

I¯f%¯

@¯f¯¯¯�n¾¾f¯f¾°

f¾¯f°°�¯@¾¾nf¾

f�¯f¯¯fff¾°nf¾°�¾

°¾¯ff¾ff°nf¾°f°�

¯°¾°¾f¯½n°f�@¾¾¾°

¯f¯f$

@°�½¾¾¾¯%I f°¯¾�

f¯%I¯ff

I¯f%¯f$%%¯fI¯f

@°n¯f¯¯¯°

¾¯f°°�¾¯¾°�fnfn

¾f¯¯�f¾°°�¾¯f°

¯

-f¯�°�nf°�°�

�°°�ff°n¾½ffff°f¾

°f

+

+

%%

+

%+%

+

¾fff¾ffff°n

�f°°nf¾¾°n�¾¯

fff¾�ff°°�¯

@f¯�¾¯¾

I@@%%¯

@¾f¯¾fn¾f¯f¾¯

nf¾f¾fff°nf¾¾°f

nf¾¾°f@°f¾f¯f°

¯f¯¯¯f¾f¯f¾�¯

¯f¾f¾¾f¯

@¯f¾¾

IJ@

IJ@¯

¯ff¾¯f¾f°f¯f

¾f¯ff¾¾f¯

@¯f¾¾°�¯¾

$+

/

@@

@@

@@

@@

@@

@@

Page 7: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 7/12

-¾¾¾¯½f°��ff�

¯¾f¾f¯°¯¾�¯¾�¾

¾n°¯ffnf�f@¾¾nf¾°

¯Z�¾°Z

°n¾¾n°¯¾¯½n°¯¾�

¾½fn°¾¯¯°n°¾nf¾¯¯ff¾°

Page 8: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 8/12

¯fnf°¾fnf°�°f¯�

°�fn�f°@�°�

¯¾°¯¾�f°¾�nnf°�

�nf°¾�

Jfn

-�°�ff°°¯¾�f°

�½°%f

�%f++

f+

(f

½°%$f

�%$%$

f+%$+f

$+$

$f$+

$$ff%¾°�½fn

$$f

(f$

-�°°¯¾�f°f½fn

°°�°�f

f

%$

($

J°½fn°�ff°n°½fff�°f

f°f

�%$+$Z%$

-nf°½n�°ff��°�

n¾°�¾f¯�¯f¾�

%%�

%%$+$

%$+%$+%$%$

$++

$

$

($$+Z%$

@�°¯f¯¯½¾¾fff�°¾

¯f¯¯½°@¾f��°ff°

�°f��n#¾

#$

$+

$$+

%$

$+

+$%¯½$

@¾¾f°¾n¯½°�¾f

¯

%$

%+

$%

$

%$b%%$%$+b%%$

($Ib%%$

@°¯f¯¯ff¾°$b%%$

¯f%$b%%$

$

%$b%%

$

$

%$b%%$

°¯f¯¯¯¾

I¯f%$b%%$

$

%$b%%

$

$

%$b%%

$%¾°��°�

�f°¯f¯¾½fn�

°¾f�f°�n°¾f½�f¾°�n

nf°f¯f°n¾@¾f¾

¾n°¯�n¾¯f°°�

¯f°�°¯°¯¯��f

¯°f½n°�n¾¯

%$%

%%

$+b%%$

$b%%$

%%

%%

� %%$+

Page 9: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 9/12

@�°�°ff��¾n¾

�°�f°

�%°%°°%°¾�°¯

@�°¾½°%°°�°n°

�%$+$

°$+$

$+$°

+%°%¯½

+°$%

@¾ff°¾ffnf°

,%fn,%

%%

°$

f

,%°$,%%°$

,%%°$,%%°$

,%%°$

(°,%%°$°+,%%

°$

@°�ff�°�¾

�%°%%

�%°%+,%%°$,%%°$%

�%°%,%%°$+,%%°$%

�%°%,%%°$%

�%°,%%°$

@f�¾�°

f�,%%%$+,%%%$+

,%%%$++,%%%$

f�

°¯��¾�°f¾$f°¯f°¾

�°

-nfnff¯f

I¯f%f�%

I¯f

f¯½°f¯f¯¯½¾¾�

n¾¯f¯f¯¯¯¾

I¯f

I¯f

I¯f

I¯f¯%¾¾�ff½¾¾�¾¯

I¯f%¯%�f¾°�n

I@@%¯%f¯�

¾nf°¾°¾f¾n°¾f¯n�f

f°¯f¯¯¯�f¾°�nf°¾�

¾¯ff°f¯�°�@¾¾¾

f¾¾n°f°f¾f¯��n°

¾n¾ff¾°�n°¯¾�¯

@�°�f¾f¾¯f¯¯¯�f

¾°�nf°�¯f°n¾fn�n¯¾

f¯�°°�f°½n°f�

nffn¯¾nf°¾°¯

f¾°�n¾°f°�

�¯f°n¾

%%

%%

%%

%%

%%

¯

�%$+

%%

%%

%

  

3

b%%°$¾¯f¯¯

b%%°$

  

3

3

b%%%°$

b%%%%$%+

b%%%%$%++

b%%%%$%

  

3b%%

°$°

Z

+

                           n      f

              n                    f                          °      ¾  

        %

Page 10: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 10/12

¯¾fnf°f¾¾f¾°�n

¯¾°�f¯¯�

n¾¾°f°¯f°°�f

½n°f��f¾¯�n¾¾°

f°�f¯

@¾¾¾f¾°�n¾¾f¯¾¯��n°

f°¾°�f¾°�n

@f¾n¯°¾¾½n°f��f¾¯�

n¾ff¯f¯¯¯�

¾°�n¯ff

¯f�%,%%$%

¯f�,%%$

¾¯f

°¯��¾�°f¾$f°¯f°¾

�°f°°¾°¯��

@�°�f¾¾�ff�f¾°�n

f°�¯f°n¾�fnff�°�@

n¯°¾¾½n°f��°nf¾�ff

n¾¾½n�ff�¾°�

n¾nf°¾°ff°nf¾¾�¯

f¯¾¯¾

f�b%%°$¾¯f

  

3

Page 11: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 11/12

@°nf°¾ff¾°ff¾¯�¾¾

¯f¯¯f½½fn�¯f°ff�

°�°�½f¾½°¾

ff°n°¾f°½½¾�°�

f¾°¾¯nf¾¾¾f�¯¾f°

°�¯f°nffn

°n°n¾°¾�°�°�#¾

fn¯½¾�°f°¯ff¾f¯

½°¾f°f�fn�¯°�¾¯½f°°f¾¾f°n�¯ff¾

¾°�f°n°f�ff¯°�¯f¾

f¾°½f¾Jf¾f¯¯f°

f�°f°n°¾f°¾½fnf°

¾f¾f°f¾¾�°�¾n¯½¾

�¾fn¾¾°��fn¯

¯f°�f°�f¾°�

°¾f�f�nf�f°°�°°�

ff¾f�f°°nf¾��f°°�

��n¾�¯�n¾°nf¾¾¯n°¾f¾f¾�¯¯ff

°nf¾°¯���n¾f°�°

¯¯ff¾f°¯¯°

@nfnf¯f¯¯¯�n¾

°f�°f

@�°�ff��¾n¾

�°�f°

�%°%°°%°¾�°¯

f°¾°�

@�°¾½°%°°�°n°

�%$+$

°$+$

$+$°

+

°$%$

@¾�¾n¯½°�¾f¯

+°$

%$

+

$

+$%°$

%$+b%°$%$b%°$

($Ib%°$

@°°$b%°$°$+b

%°$

�%°%°°%

�%°b%°$

�%°b%°$

  

3

Page 12: MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

8/7/2019 MATHS hl -stupidProject- Modelling a Functional Building Trash Scribd

http://slidepdf.com/reader/full/maths-hl-stupidproject-modelling-a-functional-building-trash-scribd 12/12

f�b%°$

@nfnf¯f¯¯¯f

I¯f%f�%

I¯f

b%°$

  

3