Consider the following function. f(x) = sin x, a = pi / 6, n = 4, 0 < x < pi / 3 Approximate f by a Taylor polynomial with degree n at the number a. Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T_n(x) when x lies in the given interval. (Round your answer to six decimal places.) Consider the following function. f (x ) = x^-9, a = 1, n = 2, 0.9 < x < 1.1 Approximate f by a Taylor polynomial with degree n at the number a. Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T_n (x) when x lies in the given interval. (Round your answer to six decimal places.)