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NAME: Key Math 106 - Quiz 6 - October 27, 2006 Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not. 1. Find the Taylor polynomial of degree 3 for f(z) =Inz at ry = 1. 2. Use your answer in the previous problem to find an estimate for In2. (Your final answer should be a. (single) fraction.) 3. According to Taylor's Theorem, what is the maximum possible error that could occur with this Taylor polynomial on the interval [1,2]? () fads tae “D $0Ye deo fare 22 x ( fay tel ee ok me zah) re pai Age a : wighe Beg prin d= 2x" 2 : i x ? Ne fo & TGV 4 $d Ox- GY a fn) tends’ “ab zy af : 7 2 2 sy? fia = O+* 4G eo Gat af a Became hs Re = (y-N - play: 4 dG). | (2) ON & fx) f. xevalues Beer Kot I. So $2) = Ps(2). Aud Fle) = lh? 3 SP, (21% te 2. (2) = (2-") + peatn ge i - S(t bs -2+2-[£ ala, elo ® Mas ertor? IFle-?2o0| eo fe ww bene [FOI s Ky fe al x sin fie). yl ro) ee ee ty xovalies tm i, 2), ths SPleie tet dt De oe ara Ea leapt ie ee f 2 ee £66 is a oe upper boar Ther [ ft) - P&I lx: capt phe), Atwengy xrvalaas in Be ae eat] Swan errer ¢ lacgevt whe x2 . [fer -tcerl § s 4 fe-al = 4 fe eet Ge sy 4. 
