Find the equation of the normal at the point `(a m^2,a m^3)`for the curve `a y^2=x^3`.

Find the equation of the tangent and the normal at the point (0, -1) to the curve 5x^2+3y^2+2x+4y+1=0

Find the equation of the normal to the curve a y^2=x^3 at the point (a m^2,\ a m^3) .

Find the equation of the normal to the curve a y^2=x^3 at the point (a m^2,\ a m^3) .

Find the equation of the normal at the specified point to each of the following curves x^(3)+y^(3)=3axy at ((3a)/(2),(3a)/(2))

Find the equation of the normal at the specified point to each of the following curves x^(2)+y^(2)-4x-6y+3=0 "at" (1,6)

Find the equation of the normal to the curve y = x^3 at the point (2,1).

Find the equation of normal at the specified point on each of the following curves : x^(2)+y^(2)-4x-6y-12=0 "at" (-3,3)

find the equation of the normal at the specified point to the following curve: x^(3)+y^(3)=3axy at ((3a)/(2),(3a)/(2))

Find the equations of the normals to the following curves at the given points : y=x^(2)-4x+3 at (4, 3).