3-10-2015

Funciones, Trigonometra e Hipernometra lgebra, Trigonometra y Geometra

Analtica

Daniel Ricardo Castro Ortiz UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA Trabajo Colaborativo Momento # 4

1) () =42+4

22+8

22 + 8 = 0 22 = 8

2 = 8

2

2 = 4

2 = 4

= 2 =/ {2}

2) () =1

2+3

= 1

2 + 3

(2 + 3) = 1 2 + 3 = 1

2 = 1 3 (2 1) = 1 3

=1 3

2 1

2 1 = 0 2 = 1

=1

2

Rango de f(x): / {1

2}

(,1

2) (

1

2, +)

3) () = 2 + 6 () = 2

a) ( + )() ( + )() = () + ()

( + )() = (2 + 6) + ( 2)

( + )() = 2 + 6 + 2 ( + )() = 2 + 2 8

b) ( )() ( )() = () ()

( )() = (2 + 6) ( 2) ( )() = 2 + 6 + 2

( )() = 2 4 c) ( )()

( )() = () () ( )() = ( 2) (2 + 6)

( )() = 2 2 + 6 ( )() = 2 + 4

d) Cundo (f - g)(x) = (g - f)(x)

() () = () ()

(2 + 6) ( 2) = ( 2) (2 + 6)

2 + 6 + 2 = 2 2 + 6

2 4 = 2 + 4

22 = 4 + 4

2 = 8

2

= 4 = 2

4) () = 2 + 4 () = 3

a) ()() = ()2 + 4

()() = ( 3)2 + 4 ()() = ( 3) + 4

()() = + 1

b) ()() = ( 3)

()() = (2 + 4) 3

()() = 2 + 4 3

()() = 2 + 1

c) ()(2) = ((2))2 + 4

()(2) = (2 3)2 + 4 ()(2) = (2 3) + 4

()(2) = 1 + 4 ()(2) = 3

d) ()(2) = ((2)) 3

()(2) = (22 + 4) 3

()(2) = (4 + 4) 3

()(2) = 8 3

()(2) = 5

5) cos

1sin =

1+sin

cos

cos

1 sin =

1 + sin

cos

cos

1 sin =

(1 + sin )(1 sin )

cos (1 sin )

cos

1 sin =

1 sin 2

cos (1 sin )

cos

1 sin =

cos 2

cos (1 sin )

cos

1 sin =

cos

1 sin