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5. [-/3 Points] DETAILS SCALCET8M 11.11.016. MY NOTES ASK YOUR TEACHER Consider the following function. PRACTICE ANOTHER f(x) = x 6, a=1, n = 2,

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5. [-/3 Points] DETAILS SCALCET8M 11.11.016. MY NOTES ASK YOUR TEACHER Consider the following function. PRACTICE ANOTHER f(x) = x 6, a=1, n = 2, 0.9 sx s 1.1 (a) Approximate f by a Taylor polynomial with degree n at the number a. T2 ( X ) = IR2(x)Is (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 six decimal places.) (c) Check your result in part (b) by graphing |Rn(x)I. 0.10 0.10 0.08 0.06 0.05 0.04 0.95 X 1.00 1.05 0.02 1.10 -0.05 . X O 0.95 1.00 1.05 1.10 O-0.10 4 - X 095 0.10 1.00 1.05 1.10 -0.02 0.05 -0.04 -0.06 + X 0.95 1.00 1.05 1.10 -0.08 -0.05 -0.10 -0.10 MacBook Pro

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