4x^(4)+y^(4)

If log_5 ((x^(4)+y^(4))/(x^(4)-y^(4))) =2 , show that (dy)/(dx) = (12x^(3))/(13y^(2))

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)

x^(4) +4y^(4) is divisible by which one of the following ?

If 4x^(4)+9y^(4)=64 then the maximum value of x^(2)+y^(2) is (where x and y are real)

Show that the circle x^(2)+ y^(2) - 4x + 4y + 4 = 0 touches the co-ordinate axes. If the points of contact are A and B, find the equation of the circle which passes through A, B and the origin,

Factorise : 4x^(4) + 9y^(4) + 11x^(2)y^(2)

Using integration ,find the area of the region {(x,y) : y^(2) le 4x, 4x^(2) +4y^(2) le 9 }

The vertex of the parabola x^(2)+y^(2)-2xy-4x-4y+4=0 is at