Please be detailed and also need to compute and plot the temperature histories(show the chart)

An insurance company has hired you as a consultant to improve their understanding of burn injuries. They are especially interested in injuries induced when a portion of a worker's body comes into contact with machinery that is at elevated temperatures in the range of 50 to 100C. Their medical consultant informs them that irreversible thermal injury (cell death) will occur in any living tissue that is maintained at T>48C for a duration t>10s. They want information concerning the extent of irreversible tissue damage (as measured by distance from the skin surface) as a function of the machinery temperature and the time during which contact is made between the skin and the machinery. Assume that living tissue has a normal temperature of 37C, is isotropic, and has constant properties equivalent to those of liquid water (=993.1kg/m3,Cp=4178 J/(kgK),k=0.628W/(mK),=k/Cp=1.513107m2/s) (a) To assess the seriousness of the problem, compute locations in the tissue at which the temperature will reach 48C after 10s of exposure to machinery at 50C and 100C. (b) For a machinery temperature of 100C and 0