anonymous
  • anonymous
The time it takes a 800 liter tank to empty, through a pipe at the bottom of the tank, is 45 minutes. According to Toricelli's Law, the volume, V, of water remaining in the tank after t minutes is given by V(t) = 800 (1- (t/45))^2. Find V^-1 as a function of V.
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
the inverse of V?
amistre64
  • amistre64
as a function of V ?
anonymous
  • anonymous
Yes I need to find the inverse of V as a function of V

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anonymous
  • anonymous
Yes I need to find the inverse of V as a function of V
amistre64
  • amistre64
V(t) = 800 (1- (t/45))^2 v = 800(1-(t/45))^2 v/800 = (1-t/45)^2 sqrt(v/800) = 1- t/45 sqrt(v/800) - 1 = -t/45 45 (sqrt(v/800)-1) = -t t = -45 [sqrt(v\800)-1] thats the best I can do fer ya
anonymous
  • anonymous
Thanks thats what I got!
amistre64
  • amistre64
youre welcome :)

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