PRIMEIRA LISTA CALCULO 1 Eng Eletrica

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PRIMEIRA LISTA de FVR 1-Eng.Eletrica – Prof. Lúcia. 2017
1 ) Traçar um esboço do gráfico da equação
( a ) 
 ( b ) 
 ( c ) 
 ( d ) 
 ( e ) 
( f ) 
( g ) 
 ( h ) 
( i ) 
 ( j ) 
2 ) Dada 
encontre : ( i ) 
 ( ii ) 
 ( iii ) 
3 ) Determine o domínio , a imagem da função, e esboce o gráfico :
( a ) 
 ( b ) 
 ( c ) 
 
 ( d ) 
 ( e ) 
 ( f ) 
4 ) Se 
 e 
 calcule 
é a função composta de 
com 
5 ) Se 
e 
 calcule 
.
6 ) Se 
e 
 calcule 
7 ) Se 
e 
 verifique que 
8 ) Se 
, calcule :
 ( a ) 
 ( b ) 
 ( c)
9 ) Para a função f(x) aqui ilustrada, encontre os seguintes limites ou explique por que eles não existem.
 
 
 
 
  
10 ) Calcule :
( a ) 
 ( b ) 
 ( c ) 
 ( d ) 
 ( e ) 
( f ) 
 ( g ) 
 ( h ) 
 ( i ) 
 
( j ) 
11 ) Calcular 
 sendo 
 dada por :
( a ) 
 ( b ) 
 ( c ) 
12 ) Resolva :( a )
 ( c )
 
 ( d ) 
( e ) 
 ( f ) 
 ( g ) 
 
13 ) Calcule o limite, caso exista. Se não existir, justifique.
( a ) 
 ( b ) 
 ( c ) 
 ( d ) 
( e ) 
 ( f ) 
, onde 
14) Calcular os seguintes limites:
( a ) 
 ( b ) 
 ( c ) 
 ( d ) 
( e ) 
 ( f ) 
 (g) 
(h) 
 (i) 
 (j) 
(k) 
 (l) 
 
15 ) Dada a função 
 é contínua em 1 ¿ JUSTIFIQUE.
16) Determine o valor de 
para que a função dada seja contínua no ponto dado. JUSTIFIQUE.
(a) 
 , em 
(b) 
 , em 
17) Observando os gráficos das funções abaixo, decida se são contínuas nos pontos indicados. JUSTIFIQUE.
(a) . 
 (b) 
(c) 
 (d) 
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