anonymous
  • anonymous
V^2=2gh use calculus, if g increase by 5% and h decrease by 10% find the percentage change in V
Calculus1
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SOLVED
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chestercat
  • chestercat
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zepdrix
  • zepdrix
@ganeshie8 hmm
anonymous
  • anonymous
??
anonymous
  • anonymous
calculus?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
then i must be reading this wrong
anonymous
  • anonymous
take log and differentiate dh is delta H the you can use percentages
anonymous
  • anonymous
then*
anonymous
  • anonymous
i get \[V^2=2(1.05)g(1.1)h\]
anonymous
  • anonymous
can you do it out
anonymous
  • anonymous
because i really dont know how to write it out
anonymous
  • anonymous
if g increase by 5%\[g\to 1.05g\]
anonymous
  • anonymous
yep but how to do it in calculus
anonymous
  • anonymous
i think i do not understand this question, so i will be quiet
anonymous
  • anonymous
oooh maybe it is this \[2VV'=2(hh'+gg')\] then plug in \(h'=.05,g'=1.1\) does that seem reasonable?
welshfella
  • welshfella
g is decreasing so it think that would be g'= 0.90
anonymous
  • anonymous
h0.9 and g 1.05?
welshfella
  • welshfella
sorry h' = 0.90
anonymous
  • anonymous
oh right i read it wrong sorry
anonymous
  • anonymous
hmm not sure about that though, since \(h'\) is the rate of change in my original method, yes, but here i guess \(h'=-.1\)
anonymous
  • anonymous
2 log V = log g + log h differentiating \[ 2\Delta V / V = \Delta g /g + \Delta h /h\]
anonymous
  • anonymous
del g /g = 0.05 and del h / h = 0.1

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