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PUNTOS EN EL ESPACIO ( R3 )
Cualquier punto se representa P ( x , y , z)
A) y= x2
X Y Z
P1 ( -1 , 1 , 3 ) P2 ( -2 , 4 , 3 )P3 ( 1 , 1 , 3 )P4 ( 2 , 4 , 3 )
Grafico R2 Grafico R3
B) y= ⅇx
X Y ZP1 ( 2 , ⅇ2, 1 )P2 (1 ,ⅇ1 ,1)P3 (0 ,ⅇ0 ,1¿P4 (-1,ⅇ−1, 1)P5 (-2 ,ⅇ−2, 1)
Grafico R2 Grafico R3
A ¿ z=2 y2
P1¿0 ,−1 ,2 (−1 )2=8
P2¿0 ,−1 ,2 (−2 )2=4
P 3¿0 ,−1 ,2 (0 )2=0
P4¿0 ,−1 ,2 (1 )2=4
P4¿0 ,−1 ,2 (2 )2=8
Grafico R2 Grafico en R3
B ¿=ⅇx3
Grafico R2
p1(3 ,0 , ⅇ33 )p2(2 ,0 ,ⅇ23 )p3(0 ,0 , ⅇ03 )p4(−2 ,0 ,ⅇ−2
3 )p5(−3 ,0 , ⅇ−3
3 ) Grafico en R3
C ¿ y2+4 z2=4
p1 (0,2,0 ) Grafico R2
p2 (0 ,−2,0 )
p3 (0,0,1 )
p4 (0,0 ,−1 )
Grafico R3
D ¿ z=4−x2
p1 (−2,0,0 )
p2 (−2,0,3 )
p3 (0,0,4 )
p4 (1,0,3 )
p5 (2,0,0 )
p6 (3,0 ,−5 )
E ¿ x− y2=0
P1 ( (−1 )2 ,−1,0 )
P2 ( (−2 )2 ,−2,0 )
P3 ((0 )2 ,0,0 )
P4 ((1 )2 ,1,0 )
P5 ((2 )2 ,2,0 )
Grafico R2 Grafico R3
F ¿ z+ y=4
p1 (0,3+1 )=4
p2 (0,1+3 )=4
p3 (0,2+2 )=4
p4 (0,4+0 )=4
p5 (0,0+4 )=4
p6 (0,31+5 )=4
Grafico R2 Grafico R3
G ¿Cosx
p1 (−2,0 ,cos(−2))
p2 (−1,0 ,cos(−1))
p3 (0,0 ,cos(0))
p4 (1,0 ,cos (1))
p5 (2 ,,0 ,cos (2))