Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ERoseM
Group Title
Determine whether the Mean Value Theorem for Derivatives applies for F(x)= xcosx, on [x/2,x/2] and find the coordinates of the points whose existence is guaranteed by the theorem
 one year ago
 one year ago
ERoseM Group Title
Determine whether the Mean Value Theorem for Derivatives applies for F(x)= xcosx, on [x/2,x/2] and find the coordinates of the points whose existence is guaranteed by the theorem
 one year ago
 one year ago

This Question is Closed

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
hmm what a weird looking interval you have
 one year ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.0
Scratch that make it [pi/2,pi/2]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
no such interval
 one year ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.0
[pi/2,pi/2]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that makes sense yes, the mvt applies because your function is continuous how you are going to solve i have no idea, but \[f(x)=x\cos(x)\] so \(f(\frac{\pi}{2})=\frac{\pi}{2}\cos(\frac{\pi}{2})=\frac{\pi}{2}0=\frac{\pi}{2}\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
and \[f(\frac{\pi}{2})=\frac{\pi}{2}\] similar to above therefore \[\frac{f(\frac{\pi}{2})f(\frac{\pi}{2})}{\frac{\pi}{2}+\frac{\pi}{2}}\] \[=\frac{(\frac{\pi}{2}+\frac{\pi}{2})}{\pi}=1\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
and \[f'(x)=1+\sin(x)\] so you need so solve \[1+\sin(x)=1\] for \(x\) in the interval should not be too hard actually
 one year ago

ERoseM Group TitleBest ResponseYou've already chosen the best response.0
Right so I take the arcsin of 0 and get the answer?
 one year ago
See more questions >>>
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.