Let 0 < p < 2 and consider the graph of y = x^p in the xy-plane as well as the graph of z = y^q in the yz-plane for any q. In particular, consider the normal line to y = x^p at x=c, and the triangle T(p,c) that it makes with the nonnegative x- and y-axes. At the vertex (0,y0) of T(p,c) on the positive y axis, evaluate the function z = y^q and contruct a z-altitude A of height (y0)^q that's points parallel to the positive z-axis. Finally, let V(p,q,c) be the volume of the tetrahedron with T(p,c) as base and altitude A. Assume q = q(p) is chosen so that lim as c -> 0+ of V(p,q,c) exists and is positive. Call this limit L(p). PROBLEM: Find the maximum value of L(p) over all p in (0,2) to three decimal places. --Dan