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(2) (a) Use Simpson's Rule with n=10 to approximate the area under the curve y=e*²,0 ≤ x ≤ 1. * Use your calculator efficiently to prevent round-off error. You may use a computer tool to help with computation, but you must include a screen shot if you do that. (b) Estimate the error involved in the above approximation. (c) If you want to guarantee that the Simpson's Rule approximation is accurate to within 0.00001, how large must n be?.

(2) (a) Use Simpson's Rule with n=10 to approximate the area under the curve y=e*²,0 ≤ x ≤ 1. * Use your calculator efficiently to prevent round-off error. You may use a computer tool to help with computation, but you must include a screen shot if you do that. (b) Estimate the error involved in the above approximation. (c) If you want to guarantee that the Simpson's Rule approximation is accurate to within 0.00001, how large must n be?.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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(2) (a) Use Simpson's Rule with n=10 to approximate the area under the curve y = ¹,0 ≤ x ≤ 1. *Use your calculator efficiently to prevent round-off error. You may use a computer tool to help with computation, but you must include a screen shot if you do that. (b) Estimate the error involved in the above approximation. (c) If you want to guarantee that the Simpson's Rule approximation is accurate to within 0.00001, how large must n be?.
Transcribed Image Text:(2) (a) Use Simpson's Rule with n=10 to approximate the area under the curve y = ¹,0 ≤ x ≤ 1. *Use your calculator efficiently to prevent round-off error. You may use a computer tool to help with computation, but you must include a screen shot if you do that. (b) Estimate the error involved in the above approximation. (c) If you want to guarantee that the Simpson's Rule approximation is accurate to within 0.00001, how large must n be?.
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