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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?

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  1. FibonacciChick666
    • one year ago
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    |dw:1444017509430:dw|

  2. FibonacciChick666
    • one year ago
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    This is sad, but I just don't know where to start. Any hints would be appreciated

  3. zepdrix
    • one year ago
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    |dw:1444018001822:dw|so ummm

  4. zepdrix
    • one year ago
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    \[\large\rm v'=-5\]And they told us the rate of change of the volume.

  5. FibonacciChick666
    • one year ago
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    right, 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

  6. FibonacciChick666
    • one year ago
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    Dv_r= 2/3 pirh DV_h=1/3pir^2

  7. zepdrix
    • one year ago
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    Hmm 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.

  8. zepdrix
    • one year ago
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    err 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.

  9. zepdrix
    • one year ago
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    |dw:1444018471390:dw|\[\large\rm \frac{r}{h}=\frac{4}{10}\]

  10. zepdrix
    • one year ago
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    \[\large\rm r=\frac{2}{5}h\]

  11. FibonacciChick666
    • one year ago
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    oh, that was simple. Lemme do the rest

  12. dan815
    • one year ago
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    for 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

  13. zepdrix
    • one year ago
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    \[\large\rm V=\frac{\pi}{3}r^2h\qquad\to\qquad V=\frac{\pi}{3}\left(\frac{2}{5}h\right)^2h\]

  14. FibonacciChick666
    • one year ago
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    give me a sec

  15. zepdrix
    • one year ago
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    And 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.

  16. FibonacciChick666
    • one year ago
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    dangit... I solved for h in v'... let me try again

  17. dan815
    • one year ago
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    thats fine just use implicit

  18. FibonacciChick666
    • one year ago
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    Just fixed that to what you said dan

  19. dan815
    • one year ago
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    |dw:1444018906631:dw|

  20. FibonacciChick666
    • one year ago
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    Your right Zep! Thank you! and thanks Dan!

  21. zepdrix
    • one year ago
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    You're* (that's right, I went there) yayyy team \c:/

  22. FibonacciChick666
    • one year ago
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    oh 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

  23. zepdrix
    • one year ago
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    oo stressin? :o

  24. FibonacciChick666
    • one year ago
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    *Just a little* (I get really bad test anxiety; hence, I am studying when my text is in 8 hours)

  25. FibonacciChick666
    • one year ago
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    test*

  26. zepdrix
    • one year ago
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    lot of related rates problems? do you know how to do the big triangle one? where the boats are going opposite directions, blah blah?

  27. dan815
    • one year ago
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    haha breathee!

  28. dan815
    • one year ago
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    my 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

  29. dan815
    • one year ago
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    I think its better to just not worry about marks and have fun writing the test lel

  30. zepdrix
    • one year ago
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    if 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

  31. dan815
    • one year ago
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    u 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

  32. FibonacciChick666
    • one year ago
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    ...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

  33. FibonacciChick666
    • one year ago
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    My ENTIRE life/career rides on me scoring above the "scaled score" of 190 on this test.

  34. dan815
    • one year ago
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    bahahha good luck!!

  35. FibonacciChick666
    • one year ago
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    It's the only way I can make up for a crappy gpa

  36. dan815
    • one year ago
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    but hey if you're able to have fun with something like this!! think about the outlook youll have in your future problems in life

  37. FibonacciChick666
    • one year ago
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    haha yea, I shall try. How do I make it fun btw?

  38. dan815
    • one year ago
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    hahahh this is how i think about it to make it fun

  39. dan815
    • one year ago
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    I think about the profs who wrote this, what kidn of people they are

  40. FibonacciChick666
    • one year ago
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    O.o?

  41. dan815
    • one year ago
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    What kind of methods they use to make a test tricky

  42. dan815
    • one year ago
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    i want to break it down, and understand their inner natures lol

  43. zepdrix
    • one year ago
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    That'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 :)

  44. zepdrix
    • one year ago
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    I 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.

  45. FibonacciChick666
    • one year ago
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    hmm... 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

  46. dan815
    • one year ago
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    yeah haha its kind of fun to take really hard classes, then u feel like ur learning a lot

  47. zepdrix
    • one year ago
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    You're taking graph theory danny boy? that class looks pretty cool

  48. FibonacciChick666
    • one year ago
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    true, I loved graph theory. The material was so interesting

  49. dan815
    • one year ago
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    that one is pretty nice so far, i have an interseting course actually about quantum computing

  50. dan815
    • one year ago
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    you should take a look at it

  51. FibonacciChick666
    • one year ago
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    ^^lol

  52. zepdrix
    • one year ago
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    oh my :o

  53. dan815
    • one year ago
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    haha 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

  54. zepdrix
    • one year ago
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    Abstract 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.

  55. FibonacciChick666
    • one year ago
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    what are you majoring in?

  56. dan815
    • one year ago
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    oo cool, i always wanted to take one of those courses, i watched some youtube videos on it thats about it haha

  57. zepdrix
    • one year ago
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    maf +_+

  58. dan815
    • one year ago
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    im doing physics fib

  59. dan815
    • one year ago
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    engineering physics / trying to fit in a math minor

  60. FibonacciChick666
    • one year ago
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    You'll have no problem. Both of you are way smarter than me and I have a BA in Pure Math

  61. dan815
    • one year ago
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    http://prntscr.com/8nvbam xD my last assignment in that course lol

  62. dan815
    • one year ago
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    pure math cooool!!!

  63. FibonacciChick666
    • one year ago
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    oh gawd.... that is Linear Alg on crack.

  64. dan815
    • one year ago
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    hah its actually easier than it looks, their notation makes it look complicated

  65. dan815
    • one year ago
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    but when i first saw this assignment it seemed like gibberish with all those new words

  66. FibonacciChick666
    • one year ago
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    I bet... You see the one thing I will never understand is why in math classes, the homework is a new concept instead of review.

  67. dan815
    • one year ago
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    ohh its actually good that way though, you get to like explore and learn new things that way, tests are the ones for review

  68. dan815
    • one year ago
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    usually hw is there to like make you think about stuff, and really understand concepts

  69. FibonacciChick666
    • one year ago
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    no... that is not the psychological definition of homework

  70. dan815
    • one year ago
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    oh okay maybe im thinking assignments

  71. FibonacciChick666
    • one year ago
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    If you made it a pre-assignment that wasn't graded, fine, but grading people on material that hasn't been covered is just crazy to me.

  72. FibonacciChick666
    • one year ago
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    or grading for effort instead of correctness

  73. FibonacciChick666
    • one year ago
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    but noooooo.... let's make students teach themselves the material so we can be crappy instructors.

  74. dan815
    • one year ago
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    bahaha do u hate ur prof or something xD

  75. FibonacciChick666
    • one year ago
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    (Why do you think my grades sucked?) and Sorry, pet peeve. It goes against everything I've learned about educational psychology.

  76. FibonacciChick666
    • one year ago
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    Every student has a different learning style, some can learn via exploration, some can't. Their brains just are not wired that way.

  77. dan815
    • one year ago
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    yeahh thats true

  78. dan815
    • one year ago
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    i like nighttimes on a black board with like 1 or 2 friends

  79. dan815
    • one year ago
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    sitting in one of the basement classes... at like 12 am when no one is around... and u see chalk and big black boards everywhere

  80. dan815
    • one year ago
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    and chalk dust in the air

  81. dan815
    • one year ago
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    and you clap and it echoes through all the halls

  82. dan815
    • one year ago
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    xD hehehe

  83. FibonacciChick666
    • one year ago
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    lol, 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.

  84. FibonacciChick666
    • one year ago
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    This site was my only assistance

  85. FibonacciChick666
    • one year ago
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    oh and female. That was another strike. They stuttered like an 80s movie talking to me

  86. FibonacciChick666
    • one year ago
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    But 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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is replying to Can someone tell me what button the professor is hitting...

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