Find a number c which satisfies the conclusions of the mean value theorem for the given functions & intervals?

i) f(x) = x^3; [1, 2]


ii) f(x) = sqrt(x); [0, 2]





B) Let f(x) = 1/x: Show that there is no c∈[-1, 2] such that


f'(c) =[ f(2) - f(-1) ] / [2 - (-1)]





Why does this not contradict the mean value theorem?

Find a number c which satisfies the conclusions of the mean value theorem for the given functions %26amp; intervals?
i) f(x)=x^3 [1,2]. f is a polynomial so it is continuous and differentiable. Hence, the MVT states that:





f(2)-f(1) = f'(c)(2-1) for some c between 1 and 2.





f(2)=8


f(1)=1. Hence, you have: 8-1=3c^2(1), or 7=3c^2. hence c^2=7/3 and c=sqrt(7/3) or c=-sqrt(7/3). Since c is between 1 and 2, c=sqrt(7/3)





ii) f(2)=sqrt(2)


f(0)=0





Hence, you have: sqrt(2)-0=1/2sqrt(c) (2) or sqrt(2)=1/sqrt(c).





This means that sqrt(2c)=1 or 2c=1, thus c=1/2.





B) f(x) is not continuous nor differentiable on [-1,2] (as it is undefined at x=0)

Where Can I Find a 20x36x1 A/C Filter??

I have been to Lowe's, Home Depot, and Wal-Mart. I cannot find these filters. The house I'm renting has this size and I can't find them anywhere. Only place I have found one is at


http://www.aafilters.com/cgi-bin/quiksto...


and I really don't want to pay for 12 at once.





Can anyone please help? Thank you.

Where Can I Find a 20x36x1 A/C Filter??
best bet is to go to a local air conditioning place...that installs heat pumps. they may have them on hand where you can buy or they can order cheaper for you.





what about your landlord?
Reply:Call a local HVAC company. They will either have them instock or can order them for you.
Reply:Look in your areas yellow pages for an air conditioning supply company. They will either have them in stock or can order them for you if they don't.


You may even want to look into a permanent filter. They cost a little more but are worth it because they trap alot of the particles that the cheap ones don't.

What are the keys on the piano? I know where to find middle C...?

Also, where are some on-line websites to learn chords.


Thank you and God bless.

What are the keys on the piano? I know where to find middle C...?
If you can find middle C you are halfway there. The white note to the right of C is D, then E F G A B and back to C. The black notes are the sharps and flats.so, for example, the black note between C and D is C# (or Db)


Basic chords are composed of 3 notes - the root,3rd and 5th.for example again, the chord of G is G B D. C is C E G


D is D F# A. Hope this helps and God bless you too.

I just finish the event planner course I will like to received some Ideas how to start the bussines and find c

I suggest first getting a job within an event planning company so that you get some exposure to the industry and on-the-job experience. Nobody will hire an event planner without experience, so you'll have to gain that experience while working as an employee for another company. Once you've got some experience and can create a portfolio of events you've planned, then you can start looking for freelance work.





You should talk to the Career Center at the school where you completed the certificate- most programs like these offer assistance with job placement.

garden centres

Im trying to find a job and the place is in Michigan, How do u spell M.A.C.C.I., the factory?

Its a factory in either Parma, or its in Jackson. I have alot of people I know that work out there. They pay real good money but I'm trying to get a online app' and cant find their website, please somebody help?

Im trying to find a job and the place is in Michigan, How do u spell M.A.C.C.I., the factory?
Michigan Automotive Compressor Inc. but if your looking for a job you need to call a temp to hire service called Addeco. They do all the hiring for Maci..warning..wages are very low and its very hard to get in full time.
Reply:it is M.A.C.I

I have a olympus c-100 camera, can I use it as a webcam and where can I find the drivers?

The short answer is no.





Web cams are really video cameras with software to do two things. First provide streaming video you can transmit over the Internet and secondly, using the provided software, capture still images from that stream.





Your camera has a shutter that is normally closed except when exposing its sensor to light to capture a single image.

How can I find out if my Mac OS X computer has a C++ compiler already included?

I was told that Macs already come with a C++ compiler included, however, I'm not so sure how and where to look for it. Can anybody tell me how to find it? My Mac is version 10.4.7

How can I find out if my Mac OS X computer has a C++ compiler already included?
Your Mac probably does not come with the compiler installed, though it should come with an XCode installer on the CD/DVD, which will give you a compiler (GCC). In the event your system does already have the (GCC) compiler installed, you can verify such by going to Terminal and typing 'cc', 'gcc' or 'g++'. If any of these binaries already exist, the system should find one somewhere among your path.





Hoping everything works out as it should.