3. [0.16/1 Points] DETAILS PREVIOUS ANSWERS (a) Find the approximations T10, M10, and S10 for T10...

 

 

Transcribed Image Text:

3. [0.16/1 Points] DETAILS PREVIOUS ANSWERS (a) Find the approximations T10, M10, and S10 for T10 = = 5.950617 M10 = | 6,024716 x X SESSCALCET2 6.5.019. S 3 sin x dx. (Round your answers to six decimal places.) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER S10 = |6.000324 Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= 0.049383 EM= -0.024716 Es=-0.000324 X (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.) IETI 0.258390 IEMI 0.129190 Esl x 0.000170 X (c) How large do we have to choose n so that the approximations Tn, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = 509 X for Tn n = 360 x for Mn n = 22 X for Sn Need Help? Read It Watch It 3. [0.16/1 Points] DETAILS PREVIOUS ANSWERS (a) Find the approximations T10, M10, and S10 for T10 = = 5.950617 M10 = | 6,024716 x X SESSCALCET2 6.5.019. S 3 sin x dx. (Round your answers to six decimal places.) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER S10 = |6.000324 Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= 0.049383 EM= -0.024716 Es=-0.000324 X (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six decimal places.) IETI 0.258390 IEMI 0.129190 Esl x 0.000170 X (c) How large do we have to choose n so that the approximations Tn, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = 509 X for Tn n = 360 x for Mn n = 22 X for Sn Need Help? Read It Watch It