anonymous
  • anonymous
If the equation of an ellipsoid is given as x/(a^2) + y/(b^2) + z/(b^2) = 1, then if I use a triple integral defined as.... integral( integral( integral( PI ) ) ) dadbdc with the limits -a to a, -b to b, and -c to c, will it give me the Volume? If not, please explain why?
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
ack!!..... havent ventured muchpast single integrals meself....
amistre64
  • amistre64
just read over spherical and cylindrical coords last night tho...
amistre64
  • amistre64
(r,t,z) ..(p,f,t)...that sorto thing

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anonymous
  • anonymous
That's really not applicable here.. we're supposed to use rectangular coordinates.
amistre64
  • amistre64
yeah... theres a book onthe shelf behind me that might have an answer to yor quandry
amistre64
  • amistre64
pgs 1041 - 1046
amistre64
  • amistre64
i know in single integrals tha tif you go from -a to a the values cancel out..
amistre64
  • amistre64
the integral of -x^2 + 9 forexample from [-3,3] -x^3/3 +9x (27/3+27)-(-27/3 -27)
amistre64
  • amistre64
lol....was that right?
amistre64
  • amistre64
nope, typoed
amistre64
  • amistre64
(-27/3+27)-(27/3 -27) looks better
anonymous
  • anonymous
um -a to a, wouldn't cancel out, they'd double...
amistre64
  • amistre64
...think I got that backwards... with the odd functions
amistre64
  • amistre64
youre right there :)
anonymous
  • anonymous
thanks for your help but I think I got it.
amistre64
  • amistre64
:) good luck with rest ;)
amistre64
  • amistre64
give e 6 months and ill be a pro at this ;)

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