A fully-dense polycrystalline ceramic has a Young's modulus E, -280 GPa, exponent n = 5, tensile strength UTS.- 160 MPa, and thermal conductivity k. -0,9 W/mK. Calculate E, UTS, and k at porosity P=0%, 5%, 10%, 15%, 20%, and 25%. Plot each of these three properties vs. porosity. What do you learn from the graphs? (You may use a spreadsheet for the calculations to save time, but write out one example equation for each property.)