menu
Qammunity
Login
Register
My account
Edit my Profile
Private messages
My favorites
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
Suppose f(x) is continuous on [2,8] and −4≤f′(x)≤5 for all x in (2,8). Use the Mean Value Theorem to estimate f(8)−f(2).
asked
Mar 25, 2017
89.4k
views
2
votes
Suppose f(x) is continuous on [2,8] and −4≤f′(x)≤5 for all x in (2,8). Use the Mean Value Theorem to estimate f(8)−f(2).
Mathematics
high-school
Sabrehagen
asked
by
Sabrehagen
8.0k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
5
votes
2≤x≤8
−4≤
f′
(x)≤5
f is continuous in differentable on [2,8] so we know there is c btw 2 and 8 such that
f′
(c)=
f(8)−f(2)
/8−2
And we know
−4≤
f′
(c)≤5
=> we have
−4≤
f(8)−f(2)
/8−2
≤
5
Sfiss
answered
Mar 30, 2017
by
Sfiss
7.3k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← Prev Question
Next Question →
Related questions
asked
Nov 28, 2021
228k
views
Suppose f(x) is continuous on [3,6] and −3≤f′(x)≤5 for all x in (3,6). Use the Mean Value Theorem to estimate f(6)−f(3).
Catriona
asked
Nov 28, 2021
by
Catriona
8.8k
points
Mathematics
college
1
answer
1
vote
228k
views
asked
Nov 20, 2024
47.1k
views
A particle moves along a straight line. For 2≤ ≤5, the velocity of the particle is given by ()=4cos(^2/8). The position of the particle at time =2 is (2)=6. For 2≤≤5, what is the position of the particle
Erika
asked
Nov 20, 2024
by
Erika
8.1k
points
Mathematics
high-school
1
answer
1
vote
47.1k
views
asked
Apr 4, 2024
221k
views
30 PIONTS!! Which of the following values for x makes the inequality 4x+1−−−−−√ ≤5.83 true? A. 9.5 B. 10 C. 8 D. 9
Daniel Naab
asked
Apr 4, 2024
by
Daniel Naab
7.7k
points
Mathematics
college
1
answer
1
vote
221k
views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.
9.4m
questions
12.2m
answers
Other Questions
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity