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2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch It 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.019. Π (a) Find the approximations T10, M10, and S10 for 28 sin x dx. (Round your answers to six decimal places.) T10 = M10 = S10= Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= EM= ASK YOUR TEACHER PRACTICE ANOTHER Es= (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.) |ET|≤ |EM|≤ |Es|≤ (c) How large do we have to choose n so that the approximations T, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = n = n = for Tn for Mn for Sn Need Help? Read It Watch It

2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch It 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.019. Π (a) Find the approximations T10, M10, and S10 for 28 sin x dx. (Round your answers to six decimal places.) T10 = M10 = S10= Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= EM= ASK YOUR TEACHER PRACTICE ANOTHER Es= (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.) |ET|≤ |EM|≤ |Es|≤ (c) How large do we have to choose n so that the approximations T, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = n = n = for Tn for Mn for Sn Need Help? Read It Watch It

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch It
Transcribed Image Text:2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch It
3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.019. Π (a) Find the approximations T10, M10, and S10 for 28 sin x dx. (Round your answers to six decimal places.) T10 = M10 = S10= Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= EM= ASK YOUR TEACHER PRACTICE ANOTHER Es= (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.) |ET|≤ |EM|≤ |Es|≤ (c) How large do we have to choose n so that the approximations T, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = n = n = for Tn for Mn for Sn Need Help? Read It Watch It
Transcribed Image Text:3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.019. Π (a) Find the approximations T10, M10, and S10 for 28 sin x dx. (Round your answers to six decimal places.) T10 = M10 = S10= Find the corresponding errors ET, EM, and Es. (Round your answers to six decimal places.) ET= EM= ASK YOUR TEACHER PRACTICE ANOTHER Es= (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.) |ET|≤ |EM|≤ |Es|≤ (c) How large do we have to choose n so that the approximations T, Mn, and S, to the integral in part (a) are accurate to within 0.00001? n = n = n = for Tn for Mn for Sn Need Help? Read It Watch It
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