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anonymous

  • one year ago

V^2=2gh use calculus, if g increase by 5% and h decrease by 10% find the percentage change in V

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  1. zepdrix
    • one year ago
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    @ganeshie8 hmm

  2. anonymous
    • one year ago
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    ??

  3. anonymous
    • one year ago
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    calculus?

  4. anonymous
    • one year ago
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    yes

  5. anonymous
    • one year ago
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    then i must be reading this wrong

  6. anonymous
    • one year ago
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    take log and differentiate dh is delta H the you can use percentages

  7. anonymous
    • one year ago
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    then*

  8. anonymous
    • one year ago
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    i get \[V^2=2(1.05)g(1.1)h\]

  9. anonymous
    • one year ago
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    can you do it out

  10. anonymous
    • one year ago
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    because i really dont know how to write it out

  11. anonymous
    • one year ago
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    if g increase by 5%\[g\to 1.05g\]

  12. anonymous
    • one year ago
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    yep but how to do it in calculus

  13. anonymous
    • one year ago
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    i think i do not understand this question, so i will be quiet

  14. anonymous
    • one year ago
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    oooh maybe it is this \[2VV'=2(hh'+gg')\] then plug in \(h'=.05,g'=1.1\) does that seem reasonable?

  15. welshfella
    • one year ago
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    g is decreasing so it think that would be g'= 0.90

  16. anonymous
    • one year ago
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    h0.9 and g 1.05?

  17. welshfella
    • one year ago
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    sorry h' = 0.90

  18. anonymous
    • one year ago
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    oh right i read it wrong sorry

  19. anonymous
    • one year ago
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    hmm not sure about that though, since \(h'\) is the rate of change in my original method, yes, but here i guess \(h'=-.1\)

  20. anonymous
    • one year ago
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    2 log V = log g + log h differentiating \[ 2\Delta V / V = \Delta g /g + \Delta h /h\]

  21. anonymous
    • one year ago
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    del g /g = 0.05 and del h / h = 0.1

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