anonymous
  • anonymous
Hard Problem** Double Integral volume of tetrahedron bounded by 4x+4y+7z=112 x=15y x=0 z=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
image included
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anonymous
  • anonymous
k so i have the plane's intercepts at y = -16, x=-26, and z = -16
anonymous
  • anonymous
not exactly sure how to set up the limits of integration

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anonymous
  • anonymous
so wait it would have to be split up with two integrals then
NotTim
  • NotTim
Hey, I'm thnking layman's method here, so don't trust me. Er..have you tried just pluggin in the values?
NotTim
  • NotTim
aww wait. I see how complex this is. So, vectors is not my thing.
anonymous
  • anonymous
\[\int\limits_{-26}^{-1680/67}\int\limits_{-4/7*x-16}^{0}(-4/7)*x-y-16dydx\]
anonymous
  • anonymous
that should be the first equation
anonymous
  • anonymous
then add + \[\int\limits_{-1680/67}^{0}\int\limits_{(1/15)x}^{0}(-4/7)x-y-16dydx\]
anonymous
  • anonymous
right?
anonymous
  • anonymous
i got this by finding the equation of the line that goes from the intercepts y=-16 to x=-26 **basically just the equation of the plane 4x+7y+7z=112 and setting z=0
anonymous
  • anonymous
then the problem is that it intercepts y=1/15x so you'd have to find the interception of above with y=1/15x aka 1/15x=-4/7x-16 again, where -4/7x-16 is from taking the above equation and setting z = 0 and solving for y
anonymous
  • anonymous
is this right?
anonymous
  • anonymous
answer = -(1225024/9849)
anonymous
  • anonymous
could very easily be completely wrong on this
NotTim
  • NotTim
Sam, please say you got something on this.
anonymous
  • anonymous
:0
anonymous
  • anonymous
it can't have negative area tho right?
anonymous
  • anonymous
er wait it should because it's in the um 8th quadrant
anonymous
  • anonymous
er crap yeah just put it in and it's wrong
NotTim
  • NotTim
Honestly, I have no idea.
anonymous
  • anonymous
yeah, think i'm going to have to take this to the math lab guarantee everyone is going to get this one wrong
anonymous
  • anonymous
eh that's ok, thank you for the help
NotTim
  • NotTim
yeah. sorry bro
Calculator
  • Calculator
u can try ask yahoo answers

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