Jak83

In this question, you will sketch the graph of the cubic function below.

f(x)= 2x^3 -33 x^2+108 x

The derivative of this function can be shown to equal

f'(x)= 6x^2 -66 x+108

This derivative can be factored as follows:

f'(x)= 6(x-2)(x-9)

The second derivative of the function is given by

f''(x)= 12x-66

(a) At what two values of x does the derivative of f(x) equal zero?

Smaller solution :

Larger solution :

(b) Which of the following descriptions apply to the function f(x)? (Check all that apply.)

f(x) is increasing on (2,9)

f(x) is increasing on (-infinity,2)

f(x) is decreasing on (2,9)

f(x) is decreasing on (9,infinity)

f(x) is increasing on (9,infinity)

f(x) is decreasing on (-infinity,2)

(c) At what value of x does the second derivative of f(x) equal zero?

(d) Which of the following descriptions apply to the function f(x)? (Check all that apply.)

f(x) is concave downwards on (5.5,infinity)

f(x) is concave upwards on (-infinity,5.5)

f(x) is concave upwards on (5.5,infinity)

f(x) is concave downwards on (-infinity,5.5)

(e) What are the co-ordinates of the relative maximum point?

(f) What are the co-ordinates of the relative minimum point?

(g) What are the co-ordinates of the inflection point?

(h) What is the y intercept of the function?

(i) Find the x intercepts of the function.

Smallest x intercept :

Middle x intercept :

Largest x intercept :

I actually found the answers to most of these, but I need help with B and D. Thanks!

Has anyone else noticed that the Menu and Back buttons on the Red versions of the Samsung Galaxy S3 for AT&T are dimmer than those on a White or Blue version? Is there a reason for this? Is there a fix for this? I want the red color but those buttons are so oddly dim I might have to go with White instead

My rank in Reach is Major, but for the past few months whenever I open the game it has me set as a recruit and my color changed to black. Occasionally my rank and color will return for a few minutes but then it'll switch back and then I can't play matchmaking. I know I haven't been banned for cheating because I play fair, I think it's an Internet problem. Any suggestions on how to fix it?

I don't really like helmets that much, but I just got a new bike and there's no way I can go riding around without a helmet. The one I have now feels a little big, so I was wondering if there were some decent slimer helmets out there like http://www.rei.com/product/798859/giro-prolight-bi... but not super expensive.

I don't want anything styled like:

http://www.motorcycleparts-accessories-andmore.com...

http://www.bulletproofme.com/new%20download%20imag...

I'm looking for one that is under about $40 and IS NOT one that requires you to plug it into your computer via USB. I'd like people to respond with personal experience that can tell me how long the pad they are recommending will stay cool (hours, minutes, etc). The longer the better of course.

I was planning on doing some small electrical work. The risk wouldn't be life threatening. So, would a glove made out of either of these materials keep me safe? If so, which would be better? Would I be at risk by using the other? Thanks.

I have a video that has audio that starts off the same, but ends different because the video and audio's FPS is different. How can I change this? I don't know what the audio's FPS is, but the video's is about 29.97 (essentially 30). I've tried Besweet, but it's giving me some error and I really don't want to deal with it. Help?

Ok, so I have this very very long video, about 2 hours (1 hour, 50 minutes, and 36 seconds to be exact) and the audio and video are horribly messed up. They start off in sync and get progressively worse. It's not like it stays 2 seconds (or any given value) off the entire time, it slowly gets worse. I think it goes from 0 difference in FPS to about 120 by the end. Any way to fix this? Btw, the video format is AVI but I have an MP4 version of it as well (the information came from the AVI file but both have the sync problem). Thanks!

So, this annoying kid comes up to my friends and I's table at lunch. He actually does this to everyone, but just recently he came up to us and said "I personally want to **** all of you at this table". Then he walks away laughing and does it to others as well. I am so pissed off at this asshole. He thinks he's cool, but no one really likes him. He'll probably do it (or something like it) again, what should I say as a comeback? I want something that will piss him off so bad and make him just leave me alone. Something funny would be cool too, idk.

I have some pretty bad tan lines right now. Spring break is coming up and I'd like to do something about it. I'm not sure if my time frame is 1 or 2 weeks. Anyway, I pretty much know nothing about tanning, because I have never done it before. I need to know a few things, like sunscreen, exposure, position, etc. First of all, do I use sunscreen? If so, what kind? I've heard low exposure time over a long period of time works best. Is that true? Basically, how long do I stay outside each day? Lastly, is there a position that is better than others? Like, laying on your side, back, front, or a little of everything? Also, I want my tan to even out, and darken slightly from what I have now, is there a certain way to go about that, or just wing it? Thank you for answering all these questions is just one Yahoo Answers question.

One of them has just the 1 game, but the other says it comes with 2 games. They are both the same price by the same seller so I'm a little confused. Does the double pack only have a demo or half of both games? Or does it have the full version of each? Would there be any point in buying the 1 game? What would be the advantage?

http://cgi.ebay.com/GAMECUBE-PAC-MAN-WORLD-2-Wii-C...

http://cgi.ebay.com/GAMECUBE-PAC-MAN-VS-PAC-MAN-WO...

I'm talking about one that doesn't ask for your phone number, or any personal information, at the end.

Please go through this step by step because the vaguely written Facebook Help Center FAQ was unclear to me.

He's a beginner and right now we only have 2 poles. However, when we go fishing with others, we have to switch off and he is usually generous and takes the longest turn waiting. Time to change. I don't know how to rate fishing poles but would this be a good one? http://www.basspro.com/webapp/wcs/stores/servlet/P... You can see that there are three "Add to Cart" options. Which would be the best for a BEGINNER? If this wouldn't be right, can you suggest something else? Thank you

I just heard this song on the radio. It was kinda heavy metal but not quite screamo. It was also kinda short, maybe that was just me though. I think I heard it say something about "higher places" a few times in it. I've searched Itunes, couldn't find the right one. Can someone help?

I didn't see it coming but did you? Or do you know if others did?

http://cgi.ebay.com/Universal-Dock-with-IR-Remote-...

If this doesn't, could you provide a link to something that would? What I need is a dock WITH A REMOTE compatible NANO 4TH GEN. that can have some way to charge it so that I don't have to take it out to charge it everytime the battery runs out. Plus *IMPORTANT*: it has to have a 3.5 mm jack so that I can use my headphone to AUX cable to hook it up to my speakers. The one that the link above leads to has all of those criteria, all I need to know is if it works with iPod Nano 4th Generation, or if you can provide something else, please do. Just nothing above $30 or $35 dollars, thanks so much.

I want to know which is "better". More specifically, I want to know which is higher quality, how well they do bass, durability, and what noise reduction they might do. I know neither of them advertises them as "noise reducing" but I've read some reviews that say they do it anyway.

http://www.sonystyle.com/webapp/wcs/stores/servlet...

http://www.skullcandy.com/shop/titan-black.html

besides of course the amount of storage, and that the 32GB comes with a remote, what's different?

I need to know some pet peeves, feel free to list more than one.