8/3/2019 Prova de Clculo 2012 - Exame de Seleo PPGMNE
1/1
W x ` v m b a E l e q l ` & A t m f a b a U a l a ` W W C F
I A
W x ` o ) C q k l d a x f a M q c q u r ` W k m i a z z a x
I ` f a :
I ` r m :
H ` m U ` x r a -
] q a u r ` = + X a u ` l v m ` u u a c q k i r a u l k f k r a
u , j q u r k e m i b ` e m b m r e i k e m :
$ 2 w ` i r ` u + M + lkft=
t =
t =
$ 1 w ` i r ` u + H + lkft
$=
te`u t+t )
$ 1 w ` i r ` u + E + lkft7
rmi t
t
] q a u r ` 8 + Q r k l k z m i b ` m b a i k ` b a b a x k v m
b m , f ` u r x a } q a :
$ 2 w ` i r ` u + M + U a i b ` o$t+ 6 uki t, a i r ` o$t+ 6 e`u
t
$ = 7 w ` i r ` u + H + U a i b ` d$t+ 6 o$t+ c$t+ , a i r `
d$t+ 6 o$t+ c$t+ . o$t+ c$t+
] q a u r ` 5 + R a ` x a f m b ` _ m l ` x F b k ` U a j m o q
f m o q i ` e ` i r i q m a f ^m, hV a b a x k v v a l a f $m, h+ )
A i r ` a t k u r a q f i f a x ` e i ` k i r a x v m l ` $m, h+ r
m l } q a :
o$e+ 6o$h+ o$m+
h m
$ = 5 w ` i r ` u + M + B a f ` i u r x a ` R a ` x a f m b ` _
m l ` x F b k ` )
$ 2 w ` i r ` u + H + Q f e m x x ` m ` w m u u m x w ` x q f x
m b m x a f q f m a u r x m b m r a f u q m v a l ` e k b m b a x a
c k u r x m b m a f 3 1 n f / d B a w ` k u
b a r x m o a c m x w ` x 5 7 f k i q r ` u , ` f a u f ` e m x
x ` w m u u m w ` x q f u a c q i b ` x m b m x , ? 7 n f m o x a i
r a , } q a x a c k u r x m m v a l ` e k b m b a b a
4 7 n f / d ) U m h a i b ` } q a v a l ` e k b m b a f t k f m
w a x f k r k b m i a u u m v k m b a 4 7 n f / d , m x c q f a i r
a f m r a f m r k e m f a i r a w ` x } q m l
f ` r k v ` v ` e w ` b a x k m f q l r & l ` )
] q a u r ` 2 $ 3 w ` i r ` u + U a { 6 o$t+ b a i k b m k f w l
k e k r m f a i r a w ` x t8{8 . t uki { 6 7, b a r a x f k i m x {
)
] q a u r ` 1 $ = 7 w ` i r ` u + U a j m o$t+ 6 li $= . t+, t 9
= ) B a r a x f k i a m b a x k v m b m i & u k f m b m o q i `
b m b m )
] q a u r ` ? $ = 7 w ` i r ` u + Q f m m c i e k m b a r q x k
u f ` a u r ` x c m i k z m i b ` q f u a x v k ` b a h m x e m u ,
b a q f m k l d m u k r q m b m m M n f
b a q f m e ` u r m } q m u a x a r m , w m x m q f m e k b m b
a } q a b k u r m H n f ) U a m h m x e m r a f q f m v a l ` e k b
m b a b a vhmxem n f / d a ` u e m x x ` u
r f q f m v a l ` e k b m b a f b k m b a vemxx` n f / d $
vemxx` 9 vhmxem + , ` i b a b a v a x a u r m x u k r q m b m m a u
r m ` b m u h m x e m u m f b a
r ` x i m x m v k m c a f m f m k u x w k b m w ` u u v a l 0 A
u e x a v m u q m x a u w ` u r m a f r a x f ` u b a M, H , vhmxem
a vemxx` )
] q a u r ` 3 W a b a & u a :
$ 1 w ` i r ` u + M + U a i b ` o$t+ a c$t+ b q m u o q i a u b
a x k v v a k u i ` k i r a x v m l ` K ) B a b q z m ` f r ` b ` b
a k i r a c x m ` w ` x w m x r a u )
$ = 7 w ` i r ` u + H + E m l e q l m x
uki5 tbt)
] q a u r ` 4 $ = 5 w ` i r ` u + E m l e q l m x m u a c q k i
r a k i r a c x m l :
K 6
5
8
8t8 2t 88t5 . t8 8t = bt
=
