Find the equations of the normal to the curve `y=x^3+2x+6` which are parallel to the line `x+14 y+4=0.`

Find the equation of the normals to the curve y=x^(3)+2x+6 which are parallel to the line x+14y+4=0

Find the equation of the normal to the curve 3x^2-y^2=8 which are parallel to the line x+3y-5=0

Find the equation of normal line to the curve y=x^(3)+2x+6 which is parallel to the line x+14y+4=0

Find the equations of the normals to the curve : 2x^(2)-y^(2)=14 , which are parallel to the line x+3y=6.

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

Find the equation of a normal to the curve y=x log_(e)x which is parallel to the line 2x-2y+3=0

Find the equation of a normal to the curve y=x(log)_e x which is parallel to the line 2x-2y+3=0 .

Find the equation of the tangent line to the curve y=x^2+4x-16 which is parallel to the line 3x-y+1=0 .

Find the equations of the normal to the curve y=4x^(3)-3x+5 , which are perpendicular to the line : 9x-y+5=0 .