Question 1 1. a. Show that the nested evaluation technique used for polynomials can also be applied to the evaluation of f(x) -1.0194 -4.62*-3.11e2+12 2e- 1.99 Rewrite the function in its nested form b. Use three-digit rounding arithmetic, the assumption and the fact that (1.59y9 -(e")1.53 to evaluate f(1.53) as given in a c. Repeat b using three-digit chopping arithmetic. d. Redo the calculation in (b) by first nesting the calculations e. Compare the approximations in (b), (c), and (d) to the true three-digit result f(1.53) -7.61 (Find the percentage error in each case). TTT Arial (12pti