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5 X X Suppose you approximate sin x at the points x = - 0.7, - 0.6, 0.0, 0.6, and 0.7 using Taylor polynomials P;
5 X X Suppose you approximate sin x at the points x = - 0.7, - 0.6, 0.0, 0.6, and 0.7 using Taylor polynomials P; = x - - 6 and Ps = X - 6 120 . Assume that the exact value of sin x is given by a calculator. Complete parts a. and b. below. a. Complete the table showing the absolute errors in the approximations at each point. Show two significant digits. X Error = |sin x - p3 (x) |Error = |sin x - P;(x) 0.7 - 0.6 0.0 0.6 0.7 (Use scientific notation. Round the final answer to seven decimal places as needed. Round all intermediate values to seven decimal places as needed.)
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