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yuki

  • 5 years ago

the base of the solid has a region defined by y=x^2 and y=e^x the plane section perpendicular to the y-axis has a shape of sqrt(x). find the volume of the solid

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  1. anonymous
    • 5 years ago
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    3d ?

  2. anonymous
    • 5 years ago
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    i cannot solve for the intervals

  3. Yuki
    • 5 years ago
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    come on guys I know you want to show off your skills :) Yes, MathMind, it's in 3D

  4. anonymous
    • 5 years ago
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    oh its 3d ok

  5. Yuki
    • 5 years ago
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    we are allowed to use a calculator to find the intersections and integrate

  6. Yuki
    • 5 years ago
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    this problem is not solve by hand

  7. anonymous
    • 5 years ago
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    do you know what the intervals are ?

  8. anonymous
    • 5 years ago
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    i think i know how to solve it one second

  9. Yuki
    • 5 years ago
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    oops, I guess e^x does not intersect x^2 twice so why don't we use x=2 as our other boundary.\[e^x = x^2 \] x = -.703

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  10. Yuki
    • 5 years ago
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    so the picture I just provide never happens

  11. anonymous
    • 5 years ago
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    now it looks solvable

  12. anonymous
    • 5 years ago
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    \[\int\limits_{-.703}^{2}(e^x-x^2)dx=[e^x-x^3/3]||(-.703, 2)\]

  13. anonymous
    • 5 years ago
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    \[\int\limits_{-.703}^{2}\sqrt{(e^x-x^2)}dx=\]

  14. anonymous
    • 5 years ago
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    3.192926228

  15. Yuki
    • 5 years ago
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    YEEEEEEESSSSSSSSS!!!!!

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