Given. 17 cos(x²) dx Do the following. (a) Find the approximations T and Mg for the given integral. (Round your answer to six decimal places.) Tg = Ma (b) Estimate the errors in the approximations Tg and M& in part (a). (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error. Round your answer to seven decimal places.) |ET| s IEMI S (c) How large do we have to choose n so that the approximations T and M₁ to the integral are accurate to within 0.0001? (Use the fact that the range of the sine and cosine functions is bounded by ±1 to estimate the maximum error.) nz nz for T for M

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