Planck's formula for the "spectral density" ρ, that is, the energy per unit volume per unit frequency v, of blackbody radiation at absolute temperature t, is given by 8thu3 1 c3 eh/(kt)-1 where k is boltzmann's constant and h is planck's constant. show that the frequency vmaz at which the spectral density is maximum satisfies hwmez/(kt) constant, (kt) - as a function of t, where the constant is just less than 3 (hint: consider drawing a graph of of two curves to see the intersection point). can you determine the dimensionless constant more accurately?