Question

Vă rog frumos să mă ajutați la rezolvarea acestui exercițiu!​

Answer 1

Explicație pas cu pas:

x+2=5y => x=5y-2

E=V(5y-2+2)²+2y²+V(5y-2-3)²+2(y-1)²=>

E=V(5y)²+2y² + V(5y-5)²+2(y-1)²=>

E=V27y²+V25(y-1)²+2(y-1)²=>

E=|y|*3V3+V27(y-1)²=>

E=3V3|y|+3V3|y-1|=>E=3V3(|y|+|y-1|)

x€[-2,3] => -2<=x<=3 => -2<=5y-2<=3 =>0<=5y<=5 =>

0<=y<=1 => y-1<=0 => E=3V3(y+1-y)=>E=3V3 -const.

y=x+3 =>x=y-3

E=Vx²+6x+9+y² + Vx²+y²+4x-2y+5 =>

E=V(x+3)²+y² + V(x+2)²+(y-1)²=>

E=Vy²+y² + V(y-3+2)²+(y-1)² =>

E=V2y²+V(y-1)²+(y-1)²=>

E=|y|V2+V2(y-1)²=>

E=|y|V2+|y-1|V2 => E=V2(|y|+|y-1|)

x€[-3,-2] => -3<=x<=-2 => 0<=x+3<=1 <=> 0<=y<=1

=> y-1<=0

=> E=V2(y+1-y)=>E=V2 -const