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 + 14 y + 4 = 0 .

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

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

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

Find the equation of the normal to the following curve 1) y=x^(3)+2x+6 which are parallel to the line x+14y+4=0. 2) x^(3)+y^(3)=8xy at the point where it meets the curve y^(2)=4x other than the origin.

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

Find an equation of normal line the curve y = x^(3) + 2x +6 which is parallel to the line x+ 14y + 4=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(s) of normal(s) to the curve 3x^2-y^2=8 which is (are) parallel to the line x+3y=4.

Find the equation(s) of normal(s) to the curve 3x^2-y^2=8 which is (are) parallel to the line x+3y=4.