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13 Nov 2019
Consider the following function. rx)=ln(1 + 2x), a = 4, n-3, 3.7 x 4.3 (a) Approximate f by a Taylor polynomial with degree n at the number a T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation x)Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) R3(x)l S (c) Check your result in part (b) by graphing IRn(x) 8. x 10-6 6. x 10-6 3.8 3.9 .1 4.2 43 -2. x 10-6 -4. x10-6 -6. x 10-6 O-8.x106 4, à 10-6 2·x1 0-6 3.8 3.9 4.0 4. 443 8. x 10-6 3 3.9 4.0 4.1 2 4.3 -2. x105 -4. x 10*6 -6. x 10-6 6. x10-6 4. x 10-6 2. x 10-6 O-8.x 106 3.8 39 4.0 4.1 4.243
Consider the following function. rx)=ln(1 + 2x), a = 4, n-3, 3.7 x 4.3 (a) Approximate f by a Taylor polynomial with degree n at the number a T3(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation x)Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) R3(x)l S (c) Check your result in part (b) by graphing IRn(x) 8. x 10-6 6. x 10-6 3.8 3.9 .1 4.2 43 -2. x 10-6 -4. x10-6 -6. x 10-6 O-8.x106 4, à 10-6 2·x1 0-6 3.8 3.9 4.0 4. 443 8. x 10-6 3 3.9 4.0 4.1 2 4.3 -2. x105 -4. x 10*6 -6. x 10-6 6. x10-6 4. x 10-6 2. x 10-6 O-8.x 106 3.8 39 4.0 4.1 4.243
Irving HeathcoteLv2
13 Nov 2019