For numerical calculations of partial differentiations in parts (d), (e) and (f), use Newton’s central difference method with disturbance parameter  =0.01xi 2. For parts (d), (e) and (f), initialize the algorithms with the following parameter vales: starting solution x(0) = (0.1, 0.01), maximum iteration number M=200, termination parameter  =10-5 3. For part (f), set the initial value of  parameter to 103. 4. For parts (d) and (e), use interval halving method with   [0,1] and iterate the method until the search interval for  is small, say less than 10-4. 5. For parts (d), (e) and (f), show the iteration of the algorithm on a 2D design space that you have drawn in part (a) 6. Attach your written codes to your assignment and submit them electronically as - For numerical calculations of partial differentiations in parts (d), (e) and (f), use Newton’s central difference method with disturbance parameter  =0.01xi　2. For parts (d), (e) and (f), initialize the algorithms with the following parameter vales: starting solution x(0) = (0.1, 0.01), maximum iteration number M=200, termination parameter  =10-5　　3. For part (f), set the initial value of 　parameter to 103. 4. For parts (d) and (e), use interval halving method with 　　[0,1] and iterate the method until the search interval for 　is small, say less than 10-4.　　　5. For parts (d), (e) and (f), show the iteration of the algorithm on a 2D design space that you have drawn in part (a) 6. Attach your written codes to your assignment and submit them electronically as