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FibonacciChick666
 one year ago
A conical reservoir of water with a diameter of 8 meters and a depth of 10 meters is being emptied at a rate of 5 cubic meters per hour. At what rate is the level of water decreasing when the depth of water is 6 meters?
FibonacciChick666
 one year ago
A conical reservoir of water with a diameter of 8 meters and a depth of 10 meters is being emptied at a rate of 5 cubic meters per hour. At what rate is the level of water decreasing when the depth of water is 6 meters?

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FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444017509430:dw

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0This is sad, but I just don't know where to start. Any hints would be appreciated

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3dw:1444018001822:dwso ummm

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3\[\large\rm v'=5\]And they told us the rate of change of the volume.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0right, but I'm missing the jump from derivative of volume. I get from your pic that the outside edge of the cone is sqrt(116), but I don't see how that helps. V=1/3pi r^2h

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Dv_r= 2/3 pirh DV_h=1/3pir^2

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3Hmm I don't think we care about the slant height at all actually. The triangles were to give us an \(\large\rm r\) value to plug into our derivative.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3err i should actually say... the triangles give us a way to relate r to h, If I'm remembering correctly, this is one of those problems:\[\large\rm V=\frac{\pi}{3}r^2h\]Where we need to write our volume function in terms of one variable before we differentiate. Otherwise it's just a big mess.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3dw:1444018471390:dw\[\large\rm \frac{r}{h}=\frac{4}{10}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3\[\large\rm r=\frac{2}{5}h\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0oh, that was simple. Lemme do the rest

dan815
 one year ago
Best ResponseYou've already chosen the best response.1for these problems, i think a good way to think is, so how is my volume changing as a function of height and how is my height changing as a function of time

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3\[\large\rm V=\frac{\pi}{3}r^2h\qquad\to\qquad V=\frac{\pi}{3}\left(\frac{2}{5}h\right)^2h\]

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0give me a sec

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3And make sure you understand what it is we're trying to solve for. We're looking for \(\large\rm h'\), ya? :) That's why I replaced the r, not the h.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0dangit... I solved for h in v'... let me try again

dan815
 one year ago
Best ResponseYou've already chosen the best response.1thats fine just use implicit

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Just fixed that to what you said dan

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Your right Zep! Thank you! and thanks Dan!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3You're* (that's right, I went there) yayyy team \c:/

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0oh goodness, my grammar...(don't worry I slapped myself with a ruler for it ;P ) Shows how much of an idiot I am though.... Gosh how I hate tests that can dictate the rest of your life

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0*Just a little* (I get really bad test anxiety; hence, I am studying when my text is in 8 hours)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3lot of related rates problems? do you know how to do the big triangle one? where the boats are going opposite directions, blah blah?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1my prof tells us that stress is a good thing if u think its a good thing for u... but i dont really believe him yet

dan815
 one year ago
Best ResponseYou've already chosen the best response.1I think its better to just not worry about marks and have fun writing the test lel

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3if you have any type of artistic ability, always include a little doodle somewhere on the test. lolol i dunno, maybe not if you have a really serious professor. but a little silly picture can take their mind off of all that monotonous grading and get them in a good mood while they're on your test lol

dan815
 one year ago
Best ResponseYou've already chosen the best response.1u gotta have fun tho!! im telling u this secret really works!! when u try to have fun.. it feels like a game, and the answers to questions just pop out at you

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0...it's a multiple choice test brought to us by the "geniuses" who think common core is a good idea. And the last one I took I blacked out for most of the test. I wish not worrying was possible

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0My ENTIRE life/career rides on me scoring above the "scaled score" of 190 on this test.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0It's the only way I can make up for a crappy gpa

dan815
 one year ago
Best ResponseYou've already chosen the best response.1but hey if you're able to have fun with something like this!! think about the outlook youll have in your future problems in life

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0haha yea, I shall try. How do I make it fun btw?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1hahahh this is how i think about it to make it fun

dan815
 one year ago
Best ResponseYou've already chosen the best response.1I think about the profs who wrote this, what kidn of people they are

dan815
 one year ago
Best ResponseYou've already chosen the best response.1What kind of methods they use to make a test tricky

dan815
 one year ago
Best ResponseYou've already chosen the best response.1i want to break it down, and understand their inner natures lol

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3That's a tough question. For me, it's fun because it's easy. I really enjoy it if I understand it. It's hard to force yourself to have fun. Hmm :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3I shouldn't say that though. I've really really enjoyed some of my super difficult classes, even when I had no idea what they were talking about.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0hmm... maybe I shall. I am so focused on just getting everything right though. And it's not that these are hard questions. It only goes up to like calc 1, but it has been soon long since calc. I had it in 11th grade

dan815
 one year ago
Best ResponseYou've already chosen the best response.1yeah haha its kind of fun to take really hard classes, then u feel like ur learning a lot

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3You're taking graph theory danny boy? that class looks pretty cool

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0true, I loved graph theory. The material was so interesting

dan815
 one year ago
Best ResponseYou've already chosen the best response.1that one is pretty nice so far, i have an interseting course actually about quantum computing

dan815
 one year ago
Best ResponseYou've already chosen the best response.1you should take a look at it

dan815
 one year ago
Best ResponseYou've already chosen the best response.1haha its not too bad, but its focring me to learn tensor products and stuff really fast pace to catch up to the math department folk

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.3Abstract Algebra is blowing my mind right now. I'm doing very poorly in it, but it's the most amazing class +_+ had completely changed my view of math.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0what are you majoring in?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1oo cool, i always wanted to take one of those courses, i watched some youtube videos on it thats about it haha

dan815
 one year ago
Best ResponseYou've already chosen the best response.1engineering physics / trying to fit in a math minor

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0You'll have no problem. Both of you are way smarter than me and I have a BA in Pure Math

dan815
 one year ago
Best ResponseYou've already chosen the best response.1http://prntscr.com/8nvbam xD my last assignment in that course lol

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0oh gawd.... that is Linear Alg on crack.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1hah its actually easier than it looks, their notation makes it look complicated

dan815
 one year ago
Best ResponseYou've already chosen the best response.1but when i first saw this assignment it seemed like gibberish with all those new words

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0I bet... You see the one thing I will never understand is why in math classes, the homework is a new concept instead of review.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1ohh its actually good that way though, you get to like explore and learn new things that way, tests are the ones for review

dan815
 one year ago
Best ResponseYou've already chosen the best response.1usually hw is there to like make you think about stuff, and really understand concepts

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0no... that is not the psychological definition of homework

dan815
 one year ago
Best ResponseYou've already chosen the best response.1oh okay maybe im thinking assignments

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0If you made it a preassignment that wasn't graded, fine, but grading people on material that hasn't been covered is just crazy to me.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0or grading for effort instead of correctness

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0but noooooo.... let's make students teach themselves the material so we can be crappy instructors.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1bahaha do u hate ur prof or something xD

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0(Why do you think my grades sucked?) and Sorry, pet peeve. It goes against everything I've learned about educational psychology.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0Every student has a different learning style, some can learn via exploration, some can't. Their brains just are not wired that way.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1i like nighttimes on a black board with like 1 or 2 friends

dan815
 one year ago
Best ResponseYou've already chosen the best response.1sitting in one of the basement classes... at like 12 am when no one is around... and u see chalk and big black boards everywhere

dan815
 one year ago
Best ResponseYou've already chosen the best response.1and chalk dust in the air

dan815
 one year ago
Best ResponseYou've already chosen the best response.1and you clap and it echoes through all the halls

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0lol, I had a white board and myself. I didn't really fit in with most of the math people at my school. I was too social, working, and athletic. I swear all they did was eat sleep and do math.

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0This site was my only assistance

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0oh and female. That was another strike. They stuttered like an 80s movie talking to me

FibonacciChick666
 one year ago
Best ResponseYou've already chosen the best response.0But anyways, thanks dan. You really managed to make me feel less anxious somehow. I appreciate it. As for you, if you need any supplementary books for graph theory or any other classes, I've heard of a library called genesis based out of russia where you may be able to find some books for free.
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