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SIERRA EXPORTADORA QUINUA

CURSO:CLCULO DE UNA VARIABLE

BLOQUE:FC-PREIEP02B1M

PROFESOR:

SANTISTEBAN LEON, EDGAR OVIDIO

INTEGRANTES:

PUCHURTINTA IRCO, KELLY YESICACDIGO 142123

!UISPE RODRIGUE", RA#L $UNIOR CDIGO 1421213

!UISPE VS!UE", $AKELYN SOLEDADCDIGO 1421414

RAMOS MORALES, LI" $ANINACDIGO 142142%

REYES YEN!UE, $HOSSEP ROSSO&ILL CDIGO 142122

SALAS TINOCO, ALE'ANDER ALVERTOCDIGO 1421233

SIMEON AVALOS, ROSSANA CDIGO 14211(1

SULCA HUAMAN), ESPERAN"A LIBERTADCDIGO 142130

LIMA

2015 - 01

1
http://campusvirtual.usil.edu.pe/courses/114807/?id_session=0http://campusvirtual.usil.edu.pe/courses/114807/?id_session=0


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Dedic!"#i

A D*+ ./ + + 5* 6

7+89/: ;8 9/8=*? 6 ./98+ ;8/,

;+8 @/8+ 7+8


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$NDICE

PORTADA

1DEDICATORIA 2

INDICE %

INTRODUCCI&N '

RESUMEN 5

ABSTRACT (

PRO)ECTO FORMATI*O EN MATEM+TICA

1- GENERALIDADES

2- CONTE'TUALI"ACIN DEL PROBLEMA

3- ETAPAS

31- PRIMERA ETAPA

B#S!UEDA DE INFORMACIN Y ORGANI"ACIN (

4- CONCLUSIONES 32

3


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INTRODUCCI&N

E ;8//9/ 98@+ 9*// =+


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.*+ / /+, +@8/ / 9.8*


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./ / /=8> / @8*8 *7+8


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PRO)ECTO FORMATI*O EN MATEM+TICA

1, GENERALIDADES

T!./" : EXTRACCI&N MINERA EN EL PER

C.#" : C+LCULO DE UNA *ARIABLE - FC

C.#"

.e e

i3!e4#3

: C=.+ / . 58*@/, L/>./, E=+++ / 10 /

;8=*/ // 8/=+;*=*? / *7+8


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2, CONTEXTUALI8ACI&N DEL PROBLEMA

L 8/>*? */88 ;+// 8/=.8+ 9.8/, . 8> 98*=*?, =;=*

>8=+ 6 >/8 6 . =;=* / ;8+.==*? /;+89@/ ./

*+ 8/=9*5 // =8/=*? / O8>*8+*.98*, >/8, =.*=.9.8, 89/, 9/9*/8,

+6/8, 8/7+8/9=*?, >8+7+8/9/8 6 9.8*//8/

;8+.=9+ =+ 5+8 >8/>+

L .*. C/+;+*.< .*. / . ;9 * ./ / +8*>*? /

+ 8//+8/ / >+ T*9*== / P/8J 6 B+*5* L .*. 7./ =.9*5

6 .9**: ;+8 =*5**:=*+/ ;8/*;*= 6 8// / + /;+/, ;/8 / =+9*9.*8 . **=+ ;8+;*+ 6 .


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;+/8 >/8


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> ?P"# .@ e i6"#!3!e .e e diee .3 6/3 de de##"//"

6#"d.c!i=" " de##"//" ec"37ic" e3 cd .3ici6i" e3 d73de e

eec.! e/ 6#"4# Sie## E6"#!d"#

E ;8+>8


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E /8 / . ;/8+ ./ >. +98+ =* .


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T8


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Fi4.# NH %: M./98 . =.8+ ./ =+9*// =;=*/ /

. =/

F./9/Q*/88/;+89+8>+@;/

d> E3 / 3"#!i= de/ 6#"4# Sie## E6"#!d"# e e!i6./ .e

/ c"3dici"3e de de##"//" ec"37ic" de / 6"/ci"3e #.#/e

dee3 //e=#e c" e3 c"e#e3ci c"3 / .!e3!i/idd

ie3!/ de / c!i=idde 6#"d.c!i= ; de c"3.", De

c.6/i#e c/e3!e c"3 /" /i3eie3!" dec#i!" ide3!ii.e

13


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c./e e#3 /" e3eici" .e /c3


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;./@+ ./ 8=* ;*==*? /

. ;8+.==*? 6 =+.*=+

II, C"3." de .i3. e3 e/ Pe#9,

E =+.


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F./9/Q/=+


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F./9/Q/=+87*=+ /99*=+ / ;8+.=9+8/ /

.*. / / P/8J ;+8 /;89


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c> E/"#e .3 "#43i


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F./9/Q

7++8>.*.

1(


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d> E/"#e .3 /i! de e6#e 6"ici"3d e3 e/ Pe#9 .e e

dedic3 / 6#"ceie3!" de / .i3. ; . 6#"d.c!" c"3 =/"#

4#e4d" .e e c"e#ci/i


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21

E6#e P#"d.c!" c"3 =/"# 4#e4d"A4#"i3d.!#i N.!#3di3"

S,A,C

G/9 / !.*. =+ O.=+

@+ =+ **= ;+;A4#"i3d.!#i Ci# S,A,C L*8, 8*

/ .*., !.*+ F/, !.*+

P.77/S3 Fe#33d" S,A,C P5*9 /


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F./9/Q E@+8+

;+8 + .9+8/

e> E/"#e .3"#43i8/>+

/;+89+ //=./98 +./

/ .*., .*. ;+;/, 5 6 =+>/, + /


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> De!e#i3e e/ !" de/ /"!e .e i3ii


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2104=q q=210

4

C+


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C(q )=0.10 (2 )( q2 )+400(100000

q )

q N9e#" de .3idde

Cq> C"!" !"!/ 6"# .3idd de i3=e3!#i" ; "6e#ci"3e

(q )=0,10q2+410

7

q ; q>0

Dom C=0;

Fi4.# NH 11Q M./98 L >87*= / 7.=*? =+9+

F./9/Q E@+8+ ;+8 + .9+8/

2


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d> E!.die / "3"!"3 ; c"3c=idd de / .3ci73 c"!" !"!/.3d" /" c#i!e#i" de / 6#ie# ; e4.3d de#i=d#e6ec!i=e3!e,

E!.di" de / "3"!"3:

- C/c./3d" / 6#ie# de#i=d:

RECORDARQ

si y=xn

dy

dx=n x

n1

(q )=0,10q+4107q1; q>0

(q )=0,104107q2; (q )>0

- C"3dici73 de /" e!#e" #e/!i=" de / .3ci73:

1 C.+ /8*5 / *>. =/8+

(q )=0

(q )=0,104107q2=0

0,104107

q2=0

0,10=4107

q2

2


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4107

0,10=q

2

4108

=q2

q=2104

q=2104

2 C.+ /8*5 + /*9/

(q )=

'(q )=0,10q

2410

7

q2

Si q=0C'(0 )=

0,10 (0 )24 107

(0 )2

4107

0= ; por lotantola derivadano existe .

Fi4.# NH 12Q M./98 + 9+ / ;8*87*=

2


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F./9/Q E@+8+ ;+8 + .9+8/

Fi4.# NH 1%Q M./98 >87*= / 7.=*? =+9+ =8*9/8*+ / ;8*


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(q )=0,104107q2

(q )=41072 q3

(q )=8107 q3 ; (q )>0

Fi4.# NH 1'Q M./98 + 9+ / />. /8*5

F./9/Q E@+8+ ;+8 + .9+8/

Fi4.# NH 15Q M./98 >87*= / 7.=*? =+9+ =8*9/8*+ / />.Q

30

q Si43" CVV C"3c=idd P, de i3/ei73

0 ;2104

H=* 88*@

2104

; H=* 88*@


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F./9/Q E@+8+ ;+8 + .9+8/

CONCLUSIONES

1 E P8+>8+@*/8+ 8/>*+/ 6 +=/ / +

;8*=*;/ ;8+


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;+8 . *7/8/9/ .+ =+

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