a. Use Algorithm 3.2 to construct the interpolating polynomial of degree three for the unequally spaced points given in the following table; X fix) -0.1 5.30000 0.0 2.00000 0.2 3.19000 0.3 1.00000 b. Add /(0.35) = 0.97260 to the table and construct the interpolating polynomial of degree four.

Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6 Week 6 9/20-22/16 Chapter 2 Sections 2.4, 2.5, 2.6