The semi-transparent solid body below is subject to laser irradiation from two different lasers (1 and 2) at the top surface (as shown) such that the rate of volumetric energy absorption is the sum of two quantities, q1 and q2, both of which are a function of position (given in the figure below). In these expressions, quantities A,a,B, and b are constants. At the top surface, the temperature is controlled to be a constant TS,0. At the bottom surface, the steady-state heat flux out of the body is a known quantity, qL. This is a 1D body in the x-direction - assume there is no variation of temperature or energy flux in the horizontal direction. The body has constant properties: thermal conductivity k, mass density , and specific heat capacity c. For (a-d) only, assume the system is at steady-state. When equations are requested, write answers in terms of variables given above only. (a) What must be the (SI) units of constant A and the units of constant a ? (b) Solve for the temperature distribution in the body, T(x), in terms of given variables. (c) Calculate the heat flux due to conduction very close to the top surface (qx=0), in terms of given variables. (d) Derive an expression for the rate at which radiation is absorbed within the entire body, per unit surface area, in terms of given variables