MATEMATICA APLICADA - EXERCICIO

(1)

M

MAATT..AAPPLL..GGEE 11

CDGE 2015

MAT

MATEMÁTIC

EMÁTICA

A APLICADA À GE –

APLICADA À GE – MÓDULO

MÓDULO EAD

EAD

LISTA DE E

LISTA DE EXERC

XERCÍCI

ÍCIOS AV

OS AVA

ALIA

LIADA

DA

PPoossttoo//GGrraadduuaaçço o ! ! ""oo##! ! dd! ! GGuu!!rrrraa$$ ""oottaa$$ ORIE"TA%&ES$

ORIE"TA%&ES$ a'

a' EstEsta (L)sta (L)sta d! a d! E*!E*!r+,r+,+)o+)os As A--a.)a.)adaada d!-! d!-!r0 s!r !1trr0 s!r !1tr!2u!2u! -)a! -)a upluploadoad 1o s)t! do #3du.o 41o s)t! do #3du.o 4

d)st51+)a do CDGE 6789

d)st51+)a do CDGE 6789 :;;;':;;;'2)t!-)rtua.'a!r'2)t!-)rtua.'a!r'#).'<r= at> #).'<r= at> as 6?@9#)1 do as 6?@9#)1 do d)a 69/7B/6789d)a 69/7B/6789 <'

<' As As 1otas dos 1otas dos a.u1os d!sta a.u1os d!sta (L)sta d! (L)sta d! E*!r+,+)os A-E*!r+,+)os A-a.)ada s!ro a.)ada s!ro )1t!2radas 4s )1t!2radas 4s d!#a)s 1otasd!#a)s 1otas dos !*!r+,+)os r!a.)ados 1o #3du.o r!s!1+)a.F )1s +o#or a #>d)a )1a. at)12)da !.o dos !*!r+,+)os r!a.)ados 1o #3du.o r!s!1+)a.F )1s +o#or a #>d)a )1a. at)12)da !.o a.u1o dura1t! todo o CDGE

a.u1o dura1t! todo o CDGE 6789 6789

+'

+' PaPara ra a a r!r!soso.u.uçço o dodos s !*!*!r!r+,+,+)+)os os os os a.a.u1u1os os d!d!-!-!rro o d!d!s+s+r!r!-!-!r r os os aassssos os #a#at!t!#0#0t)+t)+osos ut).)ados ara a

ut).)ados ara a o<t!1ço das r!sostasFo<t!1ço das r!sostasF com exceção do exercício nº 1com exceção do exercício nº 1

d'

d' "o s!r"o s!ro o a+a+!)t!)tas r!soas r!sostastas s d)rd)r!ta!tasF u#a sF u#a -!-!  Hu! !ssHu! !ss! ! t)t)o o d! r!sd! r!sostosta a 11o o d!#d!#o1so1stratra +o1

+o1@!+@!+)#!)#!1to1toF F at> at> #!#!s#o s#o ororHu! #u)toHu! #u)toss softwares softwares ! ! +a.++a.+u.adu.adoras oras r!a.r!a.)a# o!raç!)a# o!raç!ss

s)#).ar!s ! )dJ1t)+as as Hu! s!ro

s)#).ar!s ! )dJ1t)+as as Hu! s!ro so.)+)tadasso.)+)tadas !'

!' Caso o !*Caso o !*!r+,+!r+,+)o +aus! a)o +aus! a.2u#a d.2u#a dK-)da HK-)da Hua1to a #ua1to a #a1!)ra1!)ra d! r!soa d! r!so.-J.o.-J.oF aça u#F aça u#a +r,t)+a aa +r,t)+a aoo )1a. d! sua r!so.uçoF ust))+a1do !

)1a. d! sua r!so.uçoF ust))+a1do ! ar!s!1ta1do sua )1t!rr!taçoar!s!1ta1do sua )1t!rr!taço

'

' L!#<r!s! Hu! !sta (L)sta d! L!#<r!s! Hu! !sta (L)sta d! E*!r+,+)os AE*!r+,+)os A-a.)a-a.)ada > da > o )1,+)o !F o )1,+)o !F d! +!rta or#aF d! +!rta or#aF sua r)#!)rasua r)#!)ra )#r!sso 1o CDGE 6789

)#r!sso 1o CDGE 6789 2'

2' L!#L!#<r!<r!s!s!F ta#F ta#<>#<>#F Hu! os tuF Hu! os tutortor!s !s!s !stoto onlineonline ara aud0.o +o ara aud0.o +o# suas dK-)da# suas dK-)das !s !

@'

@' NoNo# t# trara<a<a.@.@o a o a totododoss

1.

1. S!2S!2u)1u)1do do o o !*!!*!##.o .o da .)1@a 18 da .)1@a 18 da ta<!da ta<!.a .a a<aa<a)*o)*oFF completecomplete o r!sta1t! das +>.u.as !# o r!sta1t! das +>.u.as !#

<ra1+o :-a.or$ 87 

<ra1+o :-a.or$ 87 o1tos='o1tos='

"QMERO

"QMERO POT"CIA DE 87 :87POT"CIA DE 87 :87XX₌₌ _L_LO_OG_G₈₈₇₇XX_:_:N_N!!....== _E_EM_{M D}_DE_EC_CIIN_NE_EL_{L ::ddN}_N==

9977 99XX887788 _{88FF777777BB??} _{88FF777777BB??} 66 8787:7F ?78769=:7F ?78769= ₇₇_F_F_?_?₇₇₈₈₇₇₆₆______₉₉ _?_? ?? 8877::77FFBB8866886699BB== 77FFBB8866886699BB BF86869B6BF86869B6 BB 8877::77FF7766779988== 7F767987F76798 F76798?F76798? 99 8787:7F 777B?=:7F 777B?= ₇₇_F_F__________₇₇₇₇₇₇_B_B ___F_F________₇₇₇₇₇₇_B_B  887 7 ::77FF8899886699== 77FF889988669977BB F898697BF898697B  8877::77FFBB997777BB== 7FB977B77FB977B7 FB977BFB977B  8787:7F7?7=:7F7?7= ₇₇_F_F__₇₇_?_?₇₇__________ ___F_F₇₇_?_?₇₇__________  8877::77FF99BB66BB669977== 77FF99BB66BB669977BB F9B6B697BF9B6B697B 8877 8877WW 88 8787 887777 8877:6=:6= ₆₆ ₆₇₆₇ 997777 99**8877WW 66FF777777BB?? 6F777B??6F777B?? 777777 **8877 ?F7?7?F7?7 ?F7?7?F7?7 77FF88 8877:8=:8= __₈₈ __₈₈₇₇ 77FF7777BB BB**8877::??== 66FF??BB777777 6?FB7776?FB777 77FF777777777799 99**8877::== 9F?787699F?78769 9?F787699?F78769 77FF777777777777777777777766 6 6 XX8877:86=:86= _8₈₈₈_F_F__________₇₇₇₇₇₇_B_B_?_?_B_B __₈₈₈₈___F_F________₇₇₇₇₇₇_B_B_?_?_?_?__ F68 X 87 F68 X 87?B?B _{??F8B678B8}_{??F8B678B8} _{??8FB678B8}_{??8FB678B8} 8F? X 87 8F? X 876?6? _{66F78678?}_{66F78678?} _{66F78678?}_{66F78678?} 8F766 X 87 8F766 X 8788

BBYYrraadd 8877:8F767B=:8F767B=_rad_rad

87MZ

87MZ 8"Z8"Z  ?7?7

677 "M

677 "M 66XX8877WW""MM 66FF??7788776699""MM 6?F78769dN"M6?F78769dN"M 666677VV 66FF6 6 X X 8877:6=:6=_V_V ₆₆_F_F_?_?_B_B₆₆_B_B₆₆₆₆____₇₇_V_V ₆₆_?_?_F_F_B_B₆₆_B_B₆₆₆₆____₇₇_V_V

(2)

MAT.APL. GE 2

2. U# a#.))+ador ar!s!1ta 1a sua !1trada u# s)1a. d! 877 #Z ! 1a sua sa,da u# s)1a. d!

6Z' [ua. o ator d! a#.))+açoF !# dNF d!ss! a#.))+ador\ ]ou-! !rda ou 2a1@o\ :Va.or$ 87 o1tos=

^<_ 87.o2:6Z/877#;= _` ^<_87.o2:677#Z/877#Z= _` 87.o2:6= _` ?F78dN _` ?dN

. U# 2u)a d! o1das ar!s!1ta 1a sua !1trada u# s)1a. d! 77 Z ! 1a sua sa,da u# s)1a. d!

B77 Z' E# Hua1tos dN o) a r!.aço !1tr! o s)1a. d! !1trada ! sa,da 1o 2u)a d! o1das\ ]ou-! !rda ou 2a1@o 1o s)1a.\ :Va.or$ 87 o1tos=

^dN_ 87.o2:B77Z/77Z= _` 87.o2:7F9= _` 7F?dN

!. U# s)1a. radar o) tra1s#)t)do +o# u#a otJ1+)a d! 977 Z ! at)12! u#a a!ro1a-! +o#

u#a )1t!1s)dad! d! 8 Z :)+o;att=' D! Hua1to o) a at!1uaço do s)1a. ao .o12o do !r+urso !1tr! a a1t!1a do radar ! a a!ro1a-!\ :Va.or$ 87 o1tos=

^d< _ 87.o2:8/9F777F777F777= _` 87.o2:8/9*87= _` 87.o2:687= _` ?F78dN _` ?dN

5. "a !1trada d! u# a#.))+ador u# t>+1)+o !# !.!trb1)+a #!d! u# s)1a. +o# a#.)tud! d!

977 #V' "a sa,da do a#.))+ador o s)1a. ar!s!1ta u#a )1t!1s)dad! d! 9 V' Co1s)d!r! Hu! as )#!d51+)as 1a !1trada ! 1a sa,da do a#.))+ador s!a# )2ua)s' [ua. o ator d! a#.))+aço !# dN\ :Va.or$ 87 o1tos=

^dN _ 87.o2:Vcs/ /Vc!/= _` 87.o2:9c/ 7F779c= _` 67.o2:87F777= _` 67*B _` 7dN

6. "a !*tr!#)dad! d! u# +a<o +oa*)a. +o# )#!d51+)a d! 97 _Ω #!d!s! u# s)1a. +o#

a#.)tud! d! 677 #VF 1a outra !*tr!#)dad! do +a<o o s)1a. > #!d)do !# 897 #V' [ua. a -ar)aço !# dN 1a )1t!1s)dad! do s)1a.\ ]ou-! !rda ou at!1uaço\ :Va.or$ 87 o1tos= ^dN _ 6*87.o2:897/97 / 677/97= _` 6*87.o2:?/B= _` 67*7F8867 _` 6F?97dN "!ss! +aso @ou-! 2a1@o ! 1o !rda'

". Co1su.ta1do o o.d!r d! u# a<r)+a1t! :A= -!r))+as! Hu! sua a1t!1a AGI ossu) u#

2a1@o d! 8dN)' U# outro a<r)+a1t! :N= )1or#a Hu! sua a1t!1a AGI ossu) u# 2a1@o d! 8dNd' [ua. d!.as ossu) #a)or D)r!t)-)dad!\ [ua. !ss! -a.or\ :Va.or$ 87 o1tos=

A_ 8dN)

N_ 8dN e 6F89 _` 8F89dN) Ma)or d)r!t)-)dad! 1a a1t!1a N

#. U# ro!t)sta +r)ou u#a a1t!1a +o# u#a )1t!1s)dad! d! rad)aço 9 -!!s #a)or Hu! a da

a1t!1a )sotr3)+a' [ua. o -a.or da d)r!t)-)dad! !# dN)\ [ua1tas -!!s !ssa )1t!1s)dad! d! rad)aço > #a)or Hu! a da a1t!1a d)o.o -!rt)+a. d! #!)a o1da\ :Va.or$ 87 o1tos=

GdN) _ 87.o2:9= _` 87:7F= _` Gd<) _ F dNd _ d<)6F89 _` dNd _ BF?

$. U# s)1a. radar +o# u#a otJ1+)a d! 977 Z at)12! u#a a1t!1a +o# d)r!t)-)dad! d! ?7dN)'

(3)

MAT.APL. GE 

otJ1+)a !1tr!2u! ao #!)o !# d<#\ E s! oss! usada u#a a1t!1a )sotr3)+a\ :Va.or$ 87 o1tos=

PdN# _ 87.o2:977Z= _` 87.o2:977F777F777Z= _` 87:F7= _` FdN#

10. U# r!+!tor r!+!<! u# s)1a. +o# a#.)tud! d! 977 #V' Ad#)t)1dos! Hu! a a1t!1a ossu)

u# 2a1@o :d)r!t)-)dad!= d! 66dNdF Hua. a a#.)tud! do s)1a. 1a !1trada da a1t!1a\ :Va.or$ 87 o1tos=

G _ 67.o2:Es/E!= _` 66/67 _ .o2:977/E!= _` 878F8 _ 977/E! _` E! _ 977/878F8 _` E! _ ?F8B #V