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amistre64

  • 5 years ago

what is the volume of the solid, spun around the y axis of f(x) = 2x^2 -x^3, from x=[0,2] ?

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  1. amistre64
    • 5 years ago
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    in other words, bounded by f(x) and the positive x axis

  2. anonymous
    • 5 years ago
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    The integration Of the function squared. Only difference is, you solve for x in terms of y.

  3. amistre64
    • 5 years ago
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    thats a bit difficult; lots of radicals involved; there is an easier way tho :)

  4. anonymous
    • 5 years ago
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    Yeah, there are 2 schools of thought, sorta. One is rings vs cylinders. The other is discs/shells/washers.

  5. anonymous
    • 5 years ago
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    I usually prefer the rings, but with a quadratic, yeah it is more annoying.

  6. amistre64
    • 5 years ago
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    yep; shells is your best bet take an average cylinder of height f(x) and cut it straight up and flatten it out so that it is 2pi x wide

  7. anonymous
    • 5 years ago
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    Yeah, that'd do it. Haha

  8. amistre64
    • 5 years ago
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    total area of the flattened cylinder is 2pi x [f(x)] 2pi [S] x[f(x)] dx in the interval gives you the volume :)

  9. amistre64
    • 5 years ago
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    trying to do it the other way; nightmare integral lol

  10. anonymous
    • 5 years ago
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    That's the beauty of choices though haha. Why did you ask a question you know the answer to?

  11. amistre64
    • 5 years ago
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    to see if anyone could answer it of course ;)

  12. amistre64
    • 5 years ago
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    i cant keep all the medals :)

  13. anonymous
    • 5 years ago
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    Very fair. I'm up to my eeballs in calculus. But Haha that's just cuz I haven't been here in a bit. ;)

  14. anonymous
    • 5 years ago
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    I just started a few days ago orso.

  15. amistre64
    • 5 years ago
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    im taking it over the summer; calc1 that is

  16. anonymous
    • 5 years ago
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    Oh cool. I just took the test to get credit through Calc 2.

  17. amistre64
    • 5 years ago
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    i was gonna to save time, but cant make it 50 miles to the official testing cite .....

  18. amistre64
    • 5 years ago
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    so i take the classes and do my crosswords and pass

  19. anonymous
    • 5 years ago
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    Haha I play solitaire.

  20. anonymous
    • 5 years ago
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    There, I posted one for y

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