chris215
  • chris215
-
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
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chris215
  • chris215
I got the volume of the box is decreasing at a rate of 144 cm3/min
anonymous
  • anonymous
will u medal
IrishBoy123
  • IrishBoy123
\(V = x^2 h\) \(\dot V = 2 x \dot x h + x^2 \dot h\) \(= 2(12)(2)6 + (12)^2 1 = \dots\)

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chris215
  • chris215
what I solved that and got 432
chris215
  • chris215
I dont think thats the right answer though because that's not an answer choice
FortyTheRapper
  • FortyTheRapper
Would the answer happen to be -144? Checking if I did the math right... if so, ill walk you through it
chris215
  • chris215
yeah thats what i got so I said decreasing at a rate of 144 cm^3/min
FortyTheRapper
  • FortyTheRapper
That's the only way I see it, since it looks like a related rates problem with a product rule derivative
chris215
  • chris215
thank you!!
IrishBoy123
  • IrishBoy123
it's -144 if \(\dot x = \color{red}{-}2\) but that's not what the original question as it was posted stated.

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