?(a) Find the approximations \(\mathrm{T}_{8} \text { and } \mathrm{M}_{8}\) for the
Chapter 7, Problem 19(choose chapter or problem)
(a) Find the approximations \(\mathrm{T}_{8}\) and \(\mathrm{M}_{8}\) for the integral \(\int_{0}^{1} \cos \left(x^{2}\right) \ d x\)
(b) Estimate the errors in the approximations of part (a).
(c) How large do we have to choose n so that the approximations \(\mathrm{T}_{\mathrm{n}}\) and \(\mathrm{M}_{\mathrm{n}}\) to the integral in part (a) are accurate to within \(0.0001\)?
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