Let `y =(x^2+3x + 1)/( x^2 +x +1)` then `y in` R then

Let z(x,y) =x^(2)y + 3xy^(4), x,y in R . Find the linear approximation for z at (2,-1).

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible integer (s) in the range of a is___________.

Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible integer (s) in the range of a is___________.

Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible integer (s) in the range of a is___________.