Calculator OK. Consider the function f(x)=x' +4x+2 on the interval [0, 3). a. Find the AVERAGE VALUE of the function on this interval. Show your work (calculator for arithmetic only). b. Find the value of c guaranteed by the Mean Value Theorem for integrals for this function on this interval. Give your answer as a decimal rounded to the nearest hundredth.

Calculus: Early Transcendentals
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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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Calculator OK. Consider the function f(x)=x' +4x+2 on the interval [0, 3].
a. Find the AVERAGE VALUE of the function on this interval. Show your work (calculator for
arithmetic only).
b. Find the value of c guaranteed by the Mean Value Theorem for integrals for this function on this
interval. Give your answer as a decimal rounded to the nearest hundredth.
Transcribed Image Text:Calculator OK. Consider the function f(x)=x' +4x+2 on the interval [0, 3]. a. Find the AVERAGE VALUE of the function on this interval. Show your work (calculator for arithmetic only). b. Find the value of c guaranteed by the Mean Value Theorem for integrals for this function on this interval. Give your answer as a decimal rounded to the nearest hundredth.
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