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anonymous

  • 5 years ago

Find the surface area generated by rotating the given curve about the y-axis. x = et - t y = 4et/2 0 ≤ t ≤ 1 I'm pretty sure the formula should be something like an integral of sqrt( (y'(t))^2 + (x'(t))^2 ) dt But i could be wrong

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  1. anonymous
    • 5 years ago
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    \[\S=\int\limits_{a}^{b} 2pix \sqrt{(dx/dt)^2+(dy/dt)^2}dt\]

  2. anonymous
    • 5 years ago
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    What does the x do?

  3. anonymous
    • 5 years ago
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    that is the radius of the generated circular figure

  4. anonymous
    • 5 years ago
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    So x should be a function?

  5. anonymous
    • 5 years ago
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    Yea a function in respect to t

  6. anonymous
    • 5 years ago
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    Coool, actually i thought there was more to this one with the limits, but i guess it's just 0 to 1

  7. anonymous
    • 5 years ago
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    yea it is just 0 to 1 because everything is in repsect to t

  8. anonymous
    • 5 years ago
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    The integral looks like a good time.. lol

  9. anonymous
    • 5 years ago
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    um in some cases u might not be able to solve the intergral haha

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