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# Grafique la region r en el plano cartesiano

## by Jonathan on Oct 26, 2010

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## Grafique la region r en el plano cartesianoPresentation Transcript

• 1. Determine el valor de c paraque el siguientesistema de ecuaciones sea inconsistente.
-c2+4 = 0
c2= 4
c = 2
c = -2
2-c = 0
c = 2
Ap(c): (-2)
• 2.-Grafique la región R en el plano cartesiano definida por:R= [(x, y) ε R2 / (X2 – 4X + 1 ≤ y ≤ x-1)^ (x < 3)]
x-1 = x2-4x+1
X2 -5x+2=0
X= 5 ± 25-4(1)(2)
2
Bx= 5 - 17
2
By= 5 - 17 - 1
2
By = 3 - 17
2
B= 5 - 17 , 3 - 17
2 2
Y= X -1
F(3)= 3-1= 2
A= (3 , 2) No esta incluido en R
Y= x2-4x+1
F(3)= 9-12+1 = -2
C= (3 , -2) No esta incluido en R
X<3
y= x2-4x+1
y= x-1
A
B
C
• 3. Dadas las matrices A= y B= Halle : det (A+B)
(A+B) = =
= 14 - 0 - 92
= - 78
1 2
-7 0
1 0 4
2(7) + 0 + 4(-21-2)
• 4. Halle lassoluciones del sistema de ecuaciones
x - 2y + z = -3
-x - y + 3z = 2
// - 3y + 4z =-1
z = (3y-1)/4
x = 2y –z -3
x = 2y – ((3y-1)/4) -3
x = (8y-3y-1-12)/4
x = (5y-13)/4
Ap(x,y,z)/ (x= (5y-13)/4 ; z= (3y-1)/4 ; yεR )