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Mimi_x3

Only for Kaffeine, easy one first. The cost to run a vehicle is a + v^2/a dollars per hour where v is the average speed of the vehicle in km/h. Show thatt the cost for a trip of Dkm is lowest if the vehicle travels at v=a km/h

  • 2 years ago
  • 2 years ago

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  1. KatrinaKaif
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    Do you want the work to? O_o

    • 2 years ago
  2. Mimi_x3
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    nope, wait its a show question. Just show the working if you're bothered.

    • 2 years ago
  3. KatrinaKaif
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    Okay sorry, the stupid thing said server lost connection C = a + v2/a => dc/dv = 0 + 2v/a => dc/dv = 2v/a => 2v /a = 0 2v = 0(a) v = 0 => d2c / dv2 = d/v(2v/a)= 2/a (Postive value so cost is lowest for all values of v ) ??

    • 2 years ago
  4. Mimi_x3
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    Sorry, its wrong.

    • 2 years ago
  5. KatrinaKaif
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    K give me a moment.

    • 2 years ago
  6. Mimi_x3
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    You can ask for help if you want, i don't mind.

    • 2 years ago
  7. KatrinaKaif
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    Omfg Mimi.

    • 2 years ago
  8. Mimi_x3
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    lols, what's wrong ? Archaic Mathematician can help :P

    • 2 years ago
  9. LagrangeSon678
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    This is basic calc (calc 1), i wanna see her do this.

    • 2 years ago
  10. Mimi_x3
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    Isn't calc 1 ? college ? >_<

    • 2 years ago
  11. LagrangeSon678
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    she can do it, i am sure. She solved harder ones before

    • 2 years ago
  12. Mimi_x3
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    ok, i'll give a little hint, it involved d s t

    • 2 years ago
  13. Mimi_x3
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    involves*

    • 2 years ago
  14. KatrinaKaif
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    c(a) = 2v?? don't tell me I am wrong again. -_-

    • 2 years ago
  15. Mimi_x3
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    lols, yeah sorry. Want me to type up the solution ?

    • 2 years ago
  16. KatrinaKaif
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    Lol Give me the answer and I ll figure the solution

    • 2 years ago
  17. LagrangeSon678
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    no way

    • 2 years ago
  18. Mimi_x3
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    It's a show.

    • 2 years ago
  19. Mimi_x3
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    No way ?

    • 2 years ago
  20. KatrinaKaif
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    Lagrange, stay out of it, and go away.

    • 2 years ago
  21. KatrinaKaif
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    Mimi, type.

    • 2 years ago
  22. Mimi_x3
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    Archaic mathematician can help you.

    • 2 years ago
  23. KatrinaKaif
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    I ll figure it out myself.

    • 2 years ago
  24. LagrangeSon678
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    hard headed ^

    • 2 years ago
  25. Mimi_x3
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    lols, and stubborn -_-

    • 2 years ago
  26. KatrinaKaif
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    Shut up featheres.

    • 2 years ago
  27. LagrangeSon678
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    lets get some soap for that mouth

    • 2 years ago
  28. Mimi_x3
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    Please refrain from swearing, don't get angry man.

    • 2 years ago
  29. KatrinaKaif
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    Lol You have no control over my fingers, so no use in stating stop :P Please feel free to hit the report abuse button =) It will be a donation

    • 2 years ago
  30. Mimi_x3
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    Hm...dw about the problem, I'll type up the solution if you want.

    • 2 years ago
  31. LagrangeSon678
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    yeah, put her out her misery

    • 2 years ago
  32. Mimi_x3
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    lols, yeah i feel bad.

    • 2 years ago
  33. KatrinaKaif
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    Didn't I say I ll figure it out on my own?

    • 2 years ago
  34. Mimi_x3
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    It'll take a while, it took me a while.

    • 2 years ago
  35. KatrinaKaif
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    Doesn't matter. I have a brain gifted to me for it.

    • 2 years ago
  36. Mimi_x3
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    Okay, do it as you wish, don't need to give me the solution straight away.

    • 2 years ago
  37. LagrangeSon678
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    yeah, let her use "her" brain to find the solution

    • 2 years ago
  38. KatrinaKaif
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    Lagrange, how many effing times Have I told you to stay away from me? Gosh damn.

    • 2 years ago
  39. Mimi_x3
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    lols, dont be mean :P

    • 2 years ago
  40. Mimi_x3
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    Kaffeine is pissed off

    • 2 years ago
  41. LagrangeSon678
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    woah, relax buddy

    • 2 years ago
  42. LagrangeSon678
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    take a chill pill

    • 2 years ago
  43. KatrinaKaif
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    Get a life dude, other than critizing me each time I solve a calc problem.

    • 2 years ago
  44. KatrinaKaif
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    You crossed the limits a while ago, and I told you to STAY AWAY

    • 2 years ago
  45. LagrangeSon678
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    nobody is criticizing you, i just find it weird that you can solve problems i give you, that are straight from calc 2, but you cant solve this one

    • 2 years ago
  46. Mimi_x3
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    You are making it sound so serious. Don't worry about it. I'll take up the solution.

    • 2 years ago
  47. KatrinaKaif
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    Lol Does a person have be good at calc 1 to get into calc bc? Your derivative questions are easy as hell.

    • 2 years ago
  48. Mimi_x3
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    Time to travel D km T = D / S = D / V (hours) Cost to travel D km C = T * ( a + v^2/a ) = D / v ( a + v^2 / a ) = D ( a/v + v/a) dC / dt = D( -a/v^2 + 1/a) = 0 -a/v^2 + 1/a = 0 1/a = a/v^2 v^2 = a^2 -> a km/h check for minimum: (using second derivative) d^2C/dt^2 = D(2a/v^3 + 0) = D * 2a/a^3 = 2D/a^2 > 0 yes, the cost at v=a is the lowest. Therefore v=a km/h for lowest cost.

    • 2 years ago
  49. KatrinaKaif
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    Damn. forgot to plug it into the equation

    • 2 years ago
  50. Mimi_x3
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    Yeah and you forgot about the distance.

    • 2 years ago
  51. KatrinaKaif
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    Pellet >.>

    • 2 years ago
  52. KatrinaKaif
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    I used the distance to get my 2 values in the first one..Forgot all about it

    • 2 years ago
  53. Mimi_x3
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    Yeah, when i did it I forgot about the other one as well xD

    • 2 years ago
  54. LagrangeSon678
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    it was a nice try

    • 2 years ago
  55. Mimi_x3
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    Want an easier one kaffeine ?

    • 2 years ago
  56. Hero
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    This is all hilarious @Mimi_x3 @LagrangeSon678 @KatrinaKaif

    • 2 years ago
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