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(a) What is the exact value of e² da? Ső e² dx = | (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). = value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 88 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)

(a) What is the exact value of e² da? Ső e² dx = | (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). = value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 88 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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(a) What is the exact value of fe* da? So e² dx (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 86 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) = Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)
Transcribed Image Text:(a) What is the exact value of fe* da? So e² dx (b) Find LEFT(2), RIGHT(2), TRAP(2), MID(2), and SIMP(2); compute the error for each. value error (c) Repeat part (b) with n = 4 (instead of n = 2). value error LEFT(2) RIGHT(2) TRAP(2) MID(2) SIMP(2) LEFT(4) RIGHT(4) TRAP(4) MID(4) SIMP(4) 86 (d) For each rule in part (b), as n goes from n = 2 to n = 4, does the error go down approximately as you would expect? Explain by calculating the ratios of the errors: Error LEFT(2)/Error LEFT(4) = Error RIGHT(2)/Error RIGHT(4) = Error TRAP(2)/Error TRAP(4) = Error MID(2)/Error MID(4) = Error SIMP(2)/Error SIMP(4) = (Be sure that you can explain in words why these do (or don't) make sense.)
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