21.12 Determine the mean value of the function f(x) = -46 + 45.4x – 13.8x? +1.71x³ – 0.0729x4 between x = 2 and 10 by (a) graphing the function and visually estimating the mean value, (b) using Eq. (PT6.4) and the analytical evaluation of the integral, and (c) using Eq. (PT6.4) and a five- segment version of Simpson's rule to estimate the integral. Calcu- late the relative percent error.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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21.12 Determine the mean value of the function
f(x) = -46 + 45.4x – 13.8x? +1.71x³ – 0.0729x4
between x = 2 and 10 by (a) graphing the function and visually
estimating the mean value, (b) using Eq. (PT6.4) and the analytical
evaluation of the integral, and (c) using Eq. (PT6.4) and a five-
segment version of Simpson's rule to estimate the integral. Calcu-
late the relative percent error.
Transcribed Image Text:21.12 Determine the mean value of the function f(x) = -46 + 45.4x – 13.8x? +1.71x³ – 0.0729x4 between x = 2 and 10 by (a) graphing the function and visually estimating the mean value, (b) using Eq. (PT6.4) and the analytical evaluation of the integral, and (c) using Eq. (PT6.4) and a five- segment version of Simpson's rule to estimate the integral. Calcu- late the relative percent error.
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