3) Let f(x) = 1.01e4-4.62e3-3.11e2 + 12.2e-1.99 == (a) Use three-digit rounding arithmetic, the assumption that e1.53 = 4.62 and the fact that ex (e)" to evaluate f(1.53) using just addition and multiplication. (That is, assume that you cannot compute e2(1.53) = 3.06 directly, so you have to compute it as e2(1.53) = (e1.53)2 = (4.62). (b) Rewrite f(x) in a nested form, as we did in class for polynomials. (c) Redo the calculution in part a) using the nested form from part b). (d) Compare the approximations in part a) and part c) to the true three digit result: f(1.53)=-7.61. Which method has greater accuracy?