A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Suppose f(x) is continuous on [4,8] and −4 is less than or equal to (f'(x) that is less than or equal to 5 for all x in (4,8). Use the Mean Value Theorem to estimate f(8)−f(4).
ANSWER < or = f(8)f(4) < or = ANSWER
anonymous
 4 years ago
Suppose f(x) is continuous on [4,8] and −4 is less than or equal to (f'(x) that is less than or equal to 5 for all x in (4,8). Use the Mean Value Theorem to estimate f(8)−f(4). ANSWER < or = f(8)f(4) < or = ANSWER

This Question is Closed

across
 4 years ago
Best ResponseYou've already chosen the best response.3The mean value theorem tells you that there is a \(c\) in \((4,8)\) such that\[f'(c)=\frac{f(8)f(4)}4.\]Moreover, you're told that \(4\leqslant f'(x)\leqslant5\) for all \(x\) in \((4,8)\). Thereore\[4\leqslant\frac{f(8)f(4)}4\leqslant5,\\16\leqslant f(8)f(4)\leqslant20.\]Easy?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Haha that was beautiful, thank you
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.