If `z=xy^2+x^2y, x=at^2, y=2at` then `(dz)/(dt)=`

Let z=e^(xy^(2)),x=t cos t,y=t sint . Find (dz)/(dt) at t=pi/2

If x^2/(yz)+y^2/(zx)+z^2/(xy)=3 then (x+y+z)^3=

If x+y+z =10 , x^(2) +y^(2) +z^(2) =60 then value of xy+yz +zx is

Which of the following are possible solutions of |(y^2+z^2,xy,xz),(xy,z^2+x^2,yz),(zx,zy,x^2+y^2)|=8 are (x,y,z)=

xquad x ^ (2), y2yquad y ^ (2), 2xz, z ^ (2), xy] | = (xy) (yz) (zx) (xy + yz + 2x)

If x + y + z = 0 , then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(xy) is:

If x+y+z=0,x^2+y^2+z^2=60, find xy + yz + zx

If x^(2)+y^(2)+z^(2)-2xyz=1 , then the value of (dx)/(sqrt(1-x^(2)))+(dy)/(sqrt(1-y^(2)))+(dz)/(sqrt(1-z^(2))) is equal to………..