Consider the following function. f(x)=√√x, a = 4, n = 2, 4 ≤ x ≤ 4.7 (a) Approximate f by a Taylor polynomial with degree n at the number a. T₂(x) = 1 2+ 4 1 4 (x-4)² 64 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) x Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) IR2(x) 0.000053 × Consider the following function. f(x) = x sin x, a = 0, n = 4, -0.6 x ≤ 0.6 (a) Approximate f by a Taylor polynomial with degree n at the number a. T4(x) = 2 X X 6 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) x Tn(x) when x lies in the given interval. (Round your answer to four decimal places.) IR4(x)| ≤ 0.0137 ×