Consider the following function. F(x) = x In(7x), = =1, n = 3, 0.8 s x s 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3 (x ) = IRg(*)1 =[ (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) & T (x) when x lies in the given interval. (Round your answer to four decimal places.) (c) Check your result in part (b) by graphing |R (x)1. y 0.9 1.0 1.1 1.2 LX -0.00005 0.9 -0.00005 1.1 1.2 -0.00010 -0.00010 -0.00015 -0.00015 -0.00020 -0.00020 -0.00025 -0.00025 O-0.00030 O-0.00030 y y 0.00030 0.00030 0.00025 0.00025 0.00020 0.00020 0.00015 0.00015 0.00010 0.00010 0.00005 0.00005 O 0.9 1.0 1.1 1.2 X O 0.9 1.0 1.1 1.2