Evaluacion 2 Calculo Diferencial

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UNIVERSIDAD ANTONIO NARIÑO CÁLCULO DIFERENCIAL Examen 2

! " #

x2 + y 2 + 2 x − 4 y = 4 , x2 + y 2 − 4 x + 2 y = 4 $

% & !

'

(

y = x2 +1

* *

y = x 2 para x ≥ 1 x = −y

* 7.

+

)

Determinar cuáles de las siguientes igualdades son funciones y dibuje las graficas de las funciones encontradas a)

x2 + y2 = 1

b)

3 x + y = −1

c)

4x2 + 2 y 2 = 2

d)

( x − 3) 2 + ( y + 2) 2 = 2

&

• •

) !

)

,

-

• * 2x −

y=4

*x

2

+ y2 = 9

*

x2 y2 + = 1 * x 2 + 3 x − y = −2 4 9

. / *

y = x4 − 9

*

y = 3x − 1

*

y = x3 − 8

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