Construct an ellipse in the xy- plane for which the length of the half-axes is 6 and 4, and a center at the origin of the coordinate system.

Determine the angle between tangents from the point (8,8) to the ellipse.

Construct a tangent to the ellipse at the point of the ellipse for which the coordinates are as follows: x-coordinate (abscissa) equals 4, and y-coordinate (ordinate) is less than 0.