2. Using one-speed diffusion theory, find the flux distribution and geometric buckling for a spherical reactor (i.e. this is a multiplying region) of radius R, with an inner cavity (vacuum) of radius R/2. Repeat this analysis for an inner cavity filled with perfect absorber. The criticality condition will be a transcendental equation which must be solved numerically using MATLAB to get the solution for geometrical buckling parameter. Plot the flux profile and the transcendental equation