anonymous
  • anonymous
Can somebody show me the missing steps? Calculus statement soon to come...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ dh }{ dt }=\frac{ d({h^{1/2})}^2 }{ dt }=2h^{1/2}\frac{ d{h^{1/2}} }{ dt }\]
anonymous
  • anonymous
Please show how they go from (2) to (3)
anonymous
  • anonymous
There are initial conditions of t=0 and h=h* if that helps any

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anonymous
  • anonymous
chain rule
anonymous
  • anonymous
h is height. This is a cylindrical tank problem.
anonymous
  • anonymous
\[\frac{d}{dx}[f^2(x)]=2f(x)f'(x)\]
anonymous
  • anonymous
why you would want to do this is not clear, but it is via the chain rule
anonymous
  • anonymous
that's right.. Thanks
anonymous
  • anonymous
yw
anonymous
  • anonymous
Chemical Engineering question. I'll post the original question so you can satisfy your curiosity
anonymous
  • anonymous
A cylindrical tank with an inside radius R and is initially filled with water to a height h*. At time t = 0, a drain opening at the bottom of the pool is opened and water is drained from the pool at a volumetric rate v(out) given by v(out)=α'h^½, where h is the height of the water level in pool at time t, and α' are constants with the appropriate units. Derive and solve the differential equation governing h(t) in terms of the parameters given above.
anonymous
  • anonymous
@satellite73 I posted the question it your were curious why

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