Find the equations of the tangent and the normal to the curve `y (x -2) (x -3) - x + 7 = 0` at the point where it cuts the x-axis

Find the equations of the tangent and the normal to the curve y = (x-7)/((x-2)(x-3)) at the point, where it cuts the X-axis.

Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it cuts the x-axis.

Find the equations of the tangent and normal to the curve y = x^(2) at (0,0).

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

Find the equations of the tangent and normal lines to the following curves: y(x-2)(x-3)-x+7=0 at the point, where it meets x=axis.

Find the equations of tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it meets the x-axis.

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

Find the equations of the tangent and the normal to the curve y=x^2+4x+1 at x=3 at the indicated points

Find the equations of the tangent and the normal to the curve y=x^2+4x+1 at x=3 at the indicated points