Calculate the average rate of change of the given function f over the interval [a, a + h], where = 1, 0.1, 0.01, 0.001 , and 0.0001. (It will be easier to do this if you first simplify the difference quotient (dg) as much as possible.) f(x) = 5x²; a = 0 Complete the table. dq 1 0.1 0.01 0.001 0.0001
Calculate the average rate of change of the given function f over the interval [a, a + h], where = 1, 0.1, 0.01, 0.001 , and 0.0001. (It will be easier to do this if you first simplify the difference quotient (dg) as much as possible.) f(x) = 5x²; a = 0 Complete the table. dq 1 0.1 0.01 0.001 0.0001
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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![Calculate the average rate of change of the given function fover the interval [a, a + h], whereh = 1, 0.1, 0.01, 0.001
, and 0.0001. (It will1 be easier to do this if you first simplify the đifference quotient (dq) as much as possible.)
f(x) = 5x²; a = 0
Complete the table.
h
dq
1
0.1
0.01
0.001
0.0001](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F349c3cc2-85dd-4554-ae4a-621a6de13e78%2F842e4cb5-ce03-4464-b5ff-e9c771531892%2F9wyubea_processed.png&w=3840&q=75)
Transcribed Image Text:Calculate the average rate of change of the given function fover the interval [a, a + h], whereh = 1, 0.1, 0.01, 0.001
, and 0.0001. (It will1 be easier to do this if you first simplify the đifference quotient (dq) as much as possible.)
f(x) = 5x²; a = 0
Complete the table.
h
dq
1
0.1
0.01
0.001
0.0001
![Calculate the average rate of change of the given function (Inflation(%)) over the interval [1, 4].
> 12.5 -
10 -
7.5
5
2.5 -
0 +
1
2
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F349c3cc2-85dd-4554-ae4a-621a6de13e78%2F842e4cb5-ce03-4464-b5ff-e9c771531892%2Faz9zvh_processed.png&w=3840&q=75)
Transcribed Image Text:Calculate the average rate of change of the given function (Inflation(%)) over the interval [1, 4].
> 12.5 -
10 -
7.5
5
2.5 -
0 +
1
2
3
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