Find the angle at which the curve `y = 2x-x^2`cut the x-axis

The angle between the curve 2y=e^(-x/2) and the y - axis is

Find the angle between the curve 2y=e^(-x//2) and y-axis.

Find the angle of intersection of the curve y=sin x with the positive x-axis .

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangents to the curve y=(x-1)(x-2) at the points where the curve cuts the x-axis.

The tangent at A(2,4) on the curve y=x^(3)-2x^(2)+4 cuts the x -axis at T then length of AT is