liizzyliizz
  • liizzyliizz
The volume of a cube is increasing at a a rate of 300 in^3/min. at the instant when the edge is 20 inches at what rate is the edge changing.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
edge is \[x = \sqrt[3]{V}\] so \[x'(t)=\frac{1}{3\sqrt[3]{V^2}}\times V'(t)\]
anonymous
  • anonymous
you are told that \[V'(t)=300\] so you get \[x'(t)=\frac{300}{3\sqrt[3]{V^2}}=\frac{100}{\sqrt[3]{V^2}}\] so all you need to finish is to find out what V is when x is 20
liizzyliizz
  • liizzyliizz
Ahh, so for future problems similar to this how would one know to go about this.

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liizzyliizz
  • liizzyliizz
I still blame my algebra skills, but that is just me lol
lgbasallote
  • lgbasallote
dV/dT = 300 when e = 20 volume of a cube = e^3 dV/dT = 3e^2(de/dt) 300 = 3e^2 (de/dt) de/dt = 300/3e^2 when e =20 de/dt = 300/3(20)^2 de/dt = 1/4 in/min is the answer I came up with.
liizzyliizz
  • liizzyliizz
^ that made a lot more sense lol

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