Update Activity 8-6-2 answers and solutions#453
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Fixes some things with the answers and solutions to the activity that appears as 8.6.3.
In part a, since the activity is using a Taylor polynomial to approximate the value of e^2, it seems kind of circular to use e^2 as the M in the Lagrange Error Bound. I adjusted the answer and solution to use 3^2 instead.
In part b, I think the use of 12, 11, and 10 in various places without saying why was confusing. I made them all 11, and then the discussion can be had about why we actually don't have a term with x^11 in it. Alternatively, we could say something about that explicitly and then use T_10 throughout.
In part c, the answer wasn't showing at all due to nested m tags, but it was incorrect anyway, so I fixed the answer and also the solution. Part of the issue was that the activity statement gives the general expression of the nth derivative, but we need to use the (n+1)st derivative in the Lagrange Error Bound and so shift the terms up. Maybe consider whether or not to edit the activity statement to give the (n+1)st derivative formula in the first place?