(a) [4 points] Use base b = 10, precision k = 4, idealized, chopping floating-point arith- metic to show that fl(g(1.015)) is inaccurate, where 21/4 g(x) = 1 1 2 (b) (3 points] Derive the second order (n = 2) quadratic Taylor polynomial approximation for f(x) = x1/4, expanded about a = 1, and use it to get an accurate approximation to g(x) in part (a). (c) [3 points) Verify that your approximation in (b) is more accurate. (a) [4 points] Use base b = 10, precision k = 4, idealized, chopping floating-point arith- metic to show that fl(g(1.015)) is inaccurate, where 21/4 g(x) = 1 1 2 (b) (3 points] Derive the second order (n = 2) quadratic Taylor polynomial approximation for f(x) = x1/4, expanded about a = 1, and use it to get an accurate approximation to g(x) in part (a). (c) [3 points) Verify that your approximation in (b) is more accurate