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anonymous

  • 5 years ago

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?

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  1. amistre64
    • 5 years ago
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    ack!!..... havent ventured muchpast single integrals meself....

  2. amistre64
    • 5 years ago
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    just read over spherical and cylindrical coords last night tho...

  3. amistre64
    • 5 years ago
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    (r,t,z) ..(p,f,t)...that sorto thing

  4. anonymous
    • 5 years ago
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    That's really not applicable here.. we're supposed to use rectangular coordinates.

  5. amistre64
    • 5 years ago
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    yeah... theres a book onthe shelf behind me that might have an answer to yor quandry

  6. amistre64
    • 5 years ago
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    pgs 1041 - 1046

  7. amistre64
    • 5 years ago
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    i know in single integrals tha tif you go from -a to a the values cancel out..

  8. amistre64
    • 5 years ago
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    the integral of -x^2 + 9 forexample from [-3,3] -x^3/3 +9x (27/3+27)-(-27/3 -27)

  9. amistre64
    • 5 years ago
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    lol....was that right?

  10. amistre64
    • 5 years ago
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    nope, typoed

  11. amistre64
    • 5 years ago
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    (-27/3+27)-(27/3 -27) looks better

  12. anonymous
    • 5 years ago
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    um -a to a, wouldn't cancel out, they'd double...

  13. amistre64
    • 5 years ago
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    ...think I got that backwards... with the odd functions

  14. amistre64
    • 5 years ago
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    youre right there :)

  15. anonymous
    • 5 years ago
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    thanks for your help but I think I got it.

  16. amistre64
    • 5 years ago
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    :) good luck with rest ;)

  17. amistre64
    • 5 years ago
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    give e 6 months and ill be a pro at this ;)

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