A piece of wire 10 meters long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is:

(a) a maximum?

(b) a minimum?

Find an equation of the line passing through P = (3, 5) that cuts off the least area from the first quadrant.

Find the area of the largest rectangle that can be inscribed in the ellipse:

X^2y^2

____ + ____ = 1.

a^2b^2