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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
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then i must be reading this wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0take log and differentiate dh is delta H the you can use percentages

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get \[V^2=2(1.05)g(1.1)h\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because i really dont know how to write it out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if g increase by 5%\[g\to 1.05g\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep but how to do it in calculus

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think i do not understand this question, so i will be quiet

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oooh maybe it is this \[2VV'=2(hh'+gg')\] then plug in \(h'=.05,g'=1.1\) does that seem reasonable?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0g is decreasing so it think that would be g'= 0.90

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh right i read it wrong sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm not sure about that though, since \(h'\) is the rate of change in my original method, yes, but here i guess \(h'=.1\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02 log V = log g + log h differentiating \[ 2\Delta V / V = \Delta g /g + \Delta h /h\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0del g /g = 0.05 and del h / h = 0.1
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