A cantilever beam AB having rectangular cross sections with varying width bx and varying height hx is

Question:

A cantilever beam AB having rectangular cross sections with varying width bx and varying height hx is subjected to a uniform load of intensity (see figure). If the width varies linearly with x according to the equation bx = bBx/L, how should the height hx vary as a function of in order to have a fully stressed beam? (Express hx in terms of the height hB at the fixed end of the beam.)