Engenharia
Por: Dayane Gonçales • 7/5/2015 • Trabalho acadêmico • 894 Palavras (4 Páginas) • 128 Visualizações
Exercício 5
A= x.y
384=x.y
Aposter = ( 8+x ). ( 12+y )
( 8+x ). ( 12+ )[pic 1]
= 96 + +12 x + x.[pic 2][pic 3]
Aposter =480 + 3072. [pic 4]
A’= 0 + (-1 ).3072x + 12.1 -1-1+-2
0 = + 12[pic 5]
= 12[pic 6]
12 3072[pic 7]
X2 = [pic 8]
X2 = 256
X2 = [pic 9]
X2 = 16
[pic 10]
8 + x = 24 12 + y = 36
Exercício 6
F ( x ) = a x [pic 11]
F (2 ) =
F ( 2 ) = a 2 [pic 12]
1 = a 2 [pic 13]
F’ ( x ) = a .[pic 14]
F’ ( x ) = a .[pic 15]
F’ ( x ) = a .[pic 16]
F’ ( x ) = a .[pic 17]
F ( 2 ) = a .[pic 18]
0 = a.[pic 19]
0 = 1 + 8b
-1 = 8b
b = [pic 20]
1 = a.2.[pic 21]
1 = a.2.[pic 22]
e = a[pic 23][pic 24]
a = [pic 25]
y = a. .lnx[pic 26]
y’ = a .[pic 27]
y’ = a .[pic 28]
y’ = a .[pic 29]
y’ = a .[pic 30]
y = 0[pic 31]
0 = a.( ) b-1 . [pic 32][pic 33]
0 = b.[pic 34]
0 = b.[pic 35]
-1= 2b b= [pic 37][pic 36]
= a.( )b . .( )[pic 38][pic 39][pic 40][pic 41]
= a. x [pic 42][pic 43][pic 44][pic 45]
= a. [pic 46][pic 47][pic 48]
6 = a.2
A= a = 3[pic 50][pic 49]
Exercício 7
F’ ( -2) = 0
F’ ( -2) = 0
F ( x ) = a[pic 51]
F ( -2 ) = a[pic 52]
F ( -2 ) = a. + b. [pic 53][pic 54]
F ( 1 ) = a. . + b. + c.1 + d[pic 55][pic 56]
F’ ( x ) = a[pic 57]
F’ ( -2 ) = a[pic 58]
F’ ( 1 ) = a.3 + b. 2.1 + c[pic 59]
0 = 9a – 6b
6b = 9a
b = [pic 60]
b = [pic 61]
Substitua B em IV
0 = 3a + 2 . + c[pic 62]
a = 3a + 3a + c
a = 6a.c
-6ª = c
C = 6ª
Substitua B e C em II
0 = a + – 6a + d[pic 63]
0 = - + d[pic 64][pic 65]
a = d[pic 66]
a = [pic 67]
d = = [pic 68]
Substitua B , C , e d em I
3 = -8a + 4 . – 2. ( -6a ) +[pic 69][pic 70]
3 = -8a + + 12a +[pic 71][pic 72]
3 = -8a + 6a + 12a + ( 2 )[pic 73]
6 = -16a + 12a+24a + 7a
6 = 27a
a= [pic 74]
Exercício 8
y = a . .lnx max f () = 6.=[pic 75][pic 76][pic 77][pic 78]
f’ () = 0[pic 79]
y’ = a . x = y’ = 0[pic 80][pic 81]
y’ = a .[pic 82]
y’ = a .[pic 83]
y’ = a.[pic 84]
0 = a. ()b-1 . [pic 85][pic 86]
0 = b.2lne + 1
0 = b.2.1 + 1
-1 = 2b
b = [pic 87]
= a. ()b .ln ()[pic 88][pic 89][pic 90]
= a. . .2.lne[pic 91][pic 92][pic 93]
= a. e-1 .2.1[pic 94][pic 95][pic 96]
6 = a.2
a = [pic 97]
a = 3
Exercício 1
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