Consider the given function and the given interval. f (x) = (x – 6)², [4, 10] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) C =

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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Consider the given function and the given interval.
f (x) = (x – 6)², [4, 10]
(a) Find the average value fave of f on the given interval.
fave
(b) Find c such that fave = f(c). (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
C =
C =
(c) Sketch the graph of f and a rectangle whose area is the same as the ar
under the graph of f. (Do this on paper. Your instructor may ask you to turn in this sketch.)
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Transcribed Image Text:Consider the given function and the given interval. f (x) = (x – 6)², [4, 10] (a) Find the average value fave of f on the given interval. fave (b) Find c such that fave = f(c). (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) C = C = (c) Sketch the graph of f and a rectangle whose area is the same as the ar under the graph of f. (Do this on paper. Your instructor may ask you to turn in this sketch.) Need Help? Read It Watch It
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