Do the following with the given information. ²2 23 cos(x²) dx (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = Mg = (b) Estimate the errors in the approximations Tg and Mg 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| ≤ IEMI S (c) How large do we have to choose n so that the approximations T and M 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 n 2 for To for Mn

Do the following with the given information. ²2 23 cos(x²) dx (a) Find the approximations Tg and Mg for the given integral. (Round your answer to six decimal places.) Tg = Mg = (b) Estimate the errors in the approximations Tg and Mg 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| ≤ IEMI S (c) How large do we have to choose n so that the approximations T and M 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 n 2 for To for Mn

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

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