Mechanics of Fluids

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  1. Norbas's Avatar
    • New Member
    • Posts: 9
    Mechanics of Fluids
    Hi there,

    I have got a question to you all:

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    Differentiate this equation to determine the value of z2/z1 for which it is a maximum.

    I see a few ways to approach it, but I have no answer to compare. Can anyone help me, please?
  2. Norbas's Avatar
    • New Member
    • Posts: 9
    Re: Mechanics of Fluids
    Any help? I just want to know, how would you do it. Q,b,g treat as constants. Multiply both sides by z12? Then you differentiate constants, so you get 0. Then you differentiate the other side and you get something?
  3. kaosu_souzousha's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,736
    Re: Mechanics of Fluids
    (Original post by Norbas)
    Any help? I just want to know, how would you do it. Q,b,g treat as constants. Multiply both sides by z12? Then you differentiate constants, so you get 0. Then you differentiate the other side and you get something?
    \frac{z_2}{z_1}=\frac{2}{3} ??
  4. Norbas's Avatar
    • New Member
    • Posts: 9
    Re: Mechanics of Fluids
    Why z2/z1 = 2/3? How did you get this?
    Last edited by Norbas; 21-05-2012 at 23:44.
  5. darksky69's Avatar
    • New Member
    • Posts: 11
    Re: Mechanics of Fluids
    you take z2/z1 as being your variable, call it x, the lhs of the equation is a constant, call it k:
    so k=2x²-2x^3
    Differentiate it and you'll get an answer.
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