Write the slope of the normal to the curve at the point

Write the angle between the curves y² = 4x and x² = 2y – 3 at the point (1, 2).

Write the angle between the curves y = e^–x and y = e^x at their point of intersection.

Write the coordinates of the point at which the tangent to the curve y = 2x² – x + 1 is parallel to the line y = 3x + 9.

Write the equation of the normal to the curve y = cosx at (0, 1).