3. For each function below explain why a naive construction will be susceptible to significant rounding error (for r near certain values), and explain how to avoid this errr. (a) f(x) = (V+ 9 3)r-; (b) f(z) = 1-(1- cos x); (c) f(x) = (1 2)(In z- sin rz); (d) f(x) = (cos(T +a) - cos T)a-; (e) S(z) = (e'+z - el-)(22)-1. COS