Multi - Balancing An Object
Suppose we have a landmass of an island that needs to be balanced by an elephant using its tusk. We need to find the right place to place the elephant's tusk to balance it. The center of the universe is some sdistance away from this island (in the same plane as this island). If we measure from the center of this universe, the island is bounded by the following functions:
y = x^2 + 4 and y = x + 6
If the density of the island at point (x,y) is the inverse of the square (reciprocal) of the distance from the x-axis, where should the tusk be placed in order to balance the island?