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anonymous

  • 5 years ago

The region bounded by the curve, y=x^2+1, and the line, y=-x+3, is rotated around the x-axis to generate a solid. Find the volume of the solid.

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  1. anonymous
    • 5 years ago
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    hey I saw you post this question earlier but you logged off

  2. anonymous
    • 5 years ago
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    I'm gunna try and solve it will you be on?

  3. anonymous
    • 5 years ago
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    yea glad your still on and yes i will

  4. anonymous
    • 5 years ago
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    do you have the Volume equation? or is it just pi*the function squared

  5. anonymous
    • 5 years ago
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    just pi* the function squared

  6. anonymous
    • 5 years ago
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    okay so do you have a graphing calculater

  7. anonymous
    • 5 years ago
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    negative on that prolly should have one being in calc

  8. anonymous
    • 5 years ago
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    its fine. You could use the calculater to see where these functions intersect. Without one, just set the equations equal to eachother and solve (do this and tell me what you get)

  9. anonymous
    • 5 years ago
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    do you have a mac

  10. anonymous
    • 5 years ago
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    nope one sec

  11. anonymous
    • 5 years ago
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    I got x=1

  12. anonymous
    • 5 years ago
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    sec

  13. anonymous
    • 5 years ago
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    what did you intergrate

  14. anonymous
    • 5 years ago
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    I didn't I set them to each other and solved algebra

  15. anonymous
    • 5 years ago
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    ooh okay. yeah you get 1 and -2

  16. anonymous
    • 5 years ago
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    so those are your domain of integration

  17. anonymous
    • 5 years ago
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    do you have a final answer (from the book or something)

  18. anonymous
    • 5 years ago
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    cuz I got a wierd fraction

  19. anonymous
    • 5 years ago
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    no it's from a worksheet

  20. anonymous
    • 5 years ago
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    this is very hard without being able to draw a graph

  21. anonymous
    • 5 years ago
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    that shows you what I set up for my integral. Its hard to explain via chat but try this: pi*(outter radius)^2 - pi*(inner radius)^2

  22. anonymous
    • 5 years ago
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    alright thanx but why did u square each equation? how did u know to do that?

  23. anonymous
    • 5 years ago
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    thats the volume formula

  24. anonymous
    • 5 years ago
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    because when you rotate the shape around the x-axis its 3-dimensional. and you subtract the inner radius because thats the hole the shape makes when you rotate it. (so the shape looks like a doughnut)

  25. anonymous
    • 5 years ago
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    ok thank you very much for your help

  26. anonymous
    • 5 years ago
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    you are welcome let me know if you have any others.....get a graphing calc

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