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(a) Find the approximations T4 and M4 for the following integral. (Round your answers to six decimal places.) [²330¹ / xd dx T4 = M4= (b) Estimate the errors in the approximations of part (a) using the smallest possible value for K according to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) El s IEMI S (c) Using the values of K from part (b), how large do we have to choose n so that the approximations T and M to the integral in part (a) are accurate to within 0.0001? For T, n = For Mn =

(a) Find the approximations T4 and M4 for the following integral. (Round your answers to six decimal places.) [²330¹ / xd dx T4 = M4= (b) Estimate the errors in the approximations of part (a) using the smallest possible value for K according to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) El s IEMI S (c) Using the values of K from part (b), how large do we have to choose n so that the approximations T and M to the integral in part (a) are accurate to within 0.0001? For T, n = For Mn =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer parts A, B, and C.

(a) Find the approximations T₁ and M₁ for the following integral. (Round your answers to six decimal places.) 2 [²3 33e¹/x dx MA = = (b) Estimate the errors in the approximations of part (a) using the smallest possible value for K according to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) |E7| ≤ EMI ≤ (c) Using the values of K from part (b), how large do we have to choose n so that the approximations and M to the integral in part (a) are accurate to within 0.0001? n For T n' n = For M n = 'n'
Transcribed Image Text:(a) Find the approximations T₁ and M₁ for the following integral. (Round your answers to six decimal places.) 2 [²3 33e¹/x dx MA = = (b) Estimate the errors in the approximations of part (a) using the smallest possible value for K according to the theorem about error bounds for trapezoidal and midpoint rules. (Round your answers to six decimal places.) |E7| ≤ EMI ≤ (c) Using the values of K from part (b), how large do we have to choose n so that the approximations and M to the integral in part (a) are accurate to within 0.0001? n For T n' n = For M n = 'n'
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