Consider an opaque horizontal plate that is well-insulated along the edges and the lower surface. The plate is uniformly irradiated from above while the air at T(infinity)=300 K flows over the top surface of the plate providing a uniform convection heat transfer coefficient of 40 W/m^2*K. Under steady state conditions the plate has a radiosity of 4000 W/m^2, and the plate temperature is maintained at T(plate)=350 K. If the total absorptivity of the plate is 0.4, determine (a) the irradiation on the plate, (b) the total reflectivity of the plate, (c) the emissive power of the plate, and (d) the total emissivity of the plate.