if `z = ax^2 + 2hxy + bу^2` then prove that `(delta^2z)/(deltax.deltay)=(delta^2z)/(deltay.deltax)`

if z = ax^2 + 2hxy + b?^2 then prove that (delta^2z)/(deltax.deltay)=(delta^2z)/(deltay.deltax)

If U=ln(x^3+y^3+z^3-3xyz) , show that frac[deltau][deltax]+frac[deltau][deltay]+frac[deltau][deltaz]=frac[3][x+y+z]

Let y(x)=ax^(n)anddeltay dentoe samll change in y. what is limit of (deltay)/(deltax)asdeltaxrarr0 ?

If y=(2)/(x),x=1, deltax=0.3 ,then delta y ~~...

If y=2x^(3) - 2x^(2) + 3x-5 , then for x=2 and Deltax =0.1 , the value of Deltay is:

Let the complex numbers z_(1),z_(2) and z_(3) be the vertices of an equailateral triangle. If z_(0) is the circumcentre of the triangle , then prove that z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = 3z_(0)^(2) .

Let the complex numbers z_(1),z_(2) and z_(3) be the vertices of an equailateral triangle. If z_(0) is the circumcentre of the triangle , then prove that z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = 3z_(0)^(2) .