It can be shown that the sixth Taylor polynomial
Chapter 11, Problem 37(choose chapter or problem)
It can be shown that the sixth Taylor polynomial off(x)=sinx2atx=0isx216x6. Use this fact in parts(a), (b), and (c).(a)What is the fifth Taylor polynomial off(x)atx=0?(b)What isf???(0)?(c)Estimate the area under the graph ofy=sinx2betweenx=0andx= 1. Use four decimal places,and compare your answer with the values given inExample 4 of Section 11.1.
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