Find he linear factors of `2x^2-y^2-x+x y+2y-1.`

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

If w(x,y) = x^(3) - 3xy + 2y^(2), x , y in R , find the linear approximation for w at (1,-1).

Find the equation of the radical axis of x^2 + y^2 – 2x – 4y – 1= 0, x^2 + y^2 – 4x – 6y + 5 = 0 .

If U(x,y,z) = x ^(2) + 2xy + y ^(2) z - z ^(2) find the linear approximation for U at (1, -1,2)

Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot

Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect.

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1