Question: Problem 1 (2 pts): Consider a computer that uses five-decimal-digit numbers. Let F1(x) denote the floating-point machine number closest to r. Let r=0.5321487513, y =

Problem 1 (2 pts): Consider a computer that uses five-decimal-digit numbers. Let F1(x) denote the floating-point machine number closest to r. Let r=0.5321487513, y = 0.5321304421. and : = 0.532148713 x 10-5 (a): What are the values F1(x), Fl(y), and SU(z)? (b): What is the relative error between t-y and f(x) - f(x)? (c): What is the relative error between 3-and f(x) - Fl(a)? (d): What is the reason for such different errors in (b) and (c)

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