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14. 514 points | Previous Answers SCal:ET 11.11.021. Consider the following function. /(x) = 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 (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) * Tp(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) R4(x)I s 0.0005 (c) Check your result in part (b) by graphing IRn(x)l 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 -0.5 0.5 0.005 002 0.003 0.004 0.005 -0.006 WebAssign Plot 0.003 001 0.5 20 5/10 points| Previous Answers SCalcET8 12.6.030 Sketch a quadric surface that could have the traces shown Traces in x k Traces in z=k k= ±2 k=-1 80

Answer 1

gcuutioo e data 4- tethe taylor gestes expanstoo し3 L4- 쇤 -a)a) L4 ㄥ = a f" (0)

F (x) sinlostoto)- Cx-O) (x-0 4 4 9- 4- 13

Tt1 15 5 5 5 COS- 5 L5 yCx) 6 1 Coy -o-S a.S