Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is equal to 8. (Enter your answers as a comma-separated list.) (b-1)² - 1/2 b = x Enhanced Feedback ct

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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Find all numbers b such that the average value of f(x) = 7 + 8x - 6x2 on the interval [0, b] is equal to 8. (Enter your answers as a comma-separated list.)
1
b = (b-1)²- 2
X
Enhanced Feedback
1
Please try again. Recall that the average value of a function f on an interval [a, b] is f
7f³f
f(x)dx.
b - a
ave
To find values b such that the average value of f on [0, b] is k, set up a function for fave with respect to b, and solve the equation f(b) = k for b.
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Transcribed Image Text:Find all numbers b such that the average value of f(x) = 7 + 8x - 6x2 on the interval [0, b] is equal to 8. (Enter your answers as a comma-separated list.) 1 b = (b-1)²- 2 X Enhanced Feedback 1 Please try again. Recall that the average value of a function f on an interval [a, b] is f 7f³f f(x)dx. b - a ave To find values b such that the average value of f on [0, b] is k, set up a function for fave with respect to b, and solve the equation f(b) = k for b. Need Help? Read It =
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