# 14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4,

###### Question:

14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a 3! (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) IR4(x)l 0.0005 (c) Check your result in part (b) by graphing Rn(x) 0.006 0.005 0.004 0.003 0.002 0.001 -0.001 -0,002 -0,003 -0,004 -0.005 -0.006 0.5 0.5 0.006 0.005 0.004 0.003 002 001 -0.5 0.5 002 0.003 0.004 0.005 0.006 0.5 0.5

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