3 A furnace wall is made up of three separate materials material 2 material 3 T-200C T inside T2 T3 Ta Ts20C outside wall Since it is hot inside the furnace ( 200 C) relative to the outside (T through the wall. The equations that govern the varsmperahee traner) material (T through Ta) are listed below (assuming 20'C), heat temperatures at the surface of each heat T2) h Ax, Note that there are four equations with four unknowns (since h, ha, ki, ko, and ks are all constants). a) Rearrange these equations into a more traditional form so that they can be solved using matrix algebra. b) Using matrix operations in EXCEL, solve for T,, T2. Ts and Ta given the following information kr 0.01 cal/cm-s C k2 0.15 cal/cm-s.C ks = 0.03 caloms-c h 1.0 cal/cm2sC h2 = 0.8 cal crm2.s-c c) Use a scatter plot to plot T vs distance through the wall. Connect the lines between the points. Follow the guidelines for making charts in EXCEL (ie. label all axes, etc)