a) Find the average value of the function f(x)= 1+4x-3x? on the interval [0, 2]. Average Value= b) Find the numbers k such that the average value of f(x)=1+4x-3x² on the interval [0, k] is equal to 4. k = c) The average value of f(x) is 5 on the interval [1, 3]. What is the value of 3
a) Find the average value of the function f(x)= 1+4x-3x? on the interval [0, 2]. Average Value= b) Find the numbers k such that the average value of f(x)=1+4x-3x² on the interval [0, k] is equal to 4. k = c) The average value of f(x) is 5 on the interval [1, 3]. What is the value of 3
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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![Average Value of a Function
Definition
The average value of a function f on the interval [a, b] is defined as
1
fave
b
F(x)dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10ef0723-5748-4876-ac0e-c1edaab8b6e6%2F857d7744-6219-41e1-985f-bf7246b4d4f3%2F4cusf1c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Average Value of a Function
Definition
The average value of a function f on the interval [a, b] is defined as
1
fave
b
F(x)dx
![a)
Find the average value of the
function
f(x)=1+4x-3x²
on the interval [0, 2].
Average Value=
b)
:Find the numbers k such that the
average value of
f(x)=1+4x-3x²
on the interval [0, k] is equal to 4.
k =
c)
The average value of f(x) is 5 on
the interval [1, 3]. What is the value of
| F(x)dx =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10ef0723-5748-4876-ac0e-c1edaab8b6e6%2F857d7744-6219-41e1-985f-bf7246b4d4f3%2Fezzmxjm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
Find the average value of the
function
f(x)=1+4x-3x²
on the interval [0, 2].
Average Value=
b)
:Find the numbers k such that the
average value of
f(x)=1+4x-3x²
on the interval [0, k] is equal to 4.
k =
c)
The average value of f(x) is 5 on
the interval [1, 3]. What is the value of
| F(x)dx =
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