QUESTION 3. Submit all steps, code, script, solutions, plots, etc. [Mark: 7;35 each] A piece of metal is heated up to 1200C and then cooled in a pool of water to 51a2C before forging. Invoke Newton's law of cooling using Euler method, assuming k=0.0a1s1 and t=10s,1s. Part I) How long should the 1200C metal be immersed in the pool of water if the water temperature remains at 25C ? Part II) How long should the 1200C metal be immersed in the pool of water if the water temperature increases linearly from 25C to boiling in 1123 seconds? Here, 1,2,3 are the largest, second largest, and third largest digits, respectively, of your student ID. For example, ID =110733456 gives 1=7,2=6, and 3=5 and, therefore, k=0.07s1, the metal cools to 576C, and for Part II, it takes 1765s to boil the water