anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\S=\int\limits_{a}^{b} 2pix \sqrt{(dx/dt)^2+(dy/dt)^2}dt\]
anonymous
  • anonymous
What does the x do?
anonymous
  • anonymous
that is the radius of the generated circular figure

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anonymous
  • anonymous
So x should be a function?
anonymous
  • anonymous
Yea a function in respect to t
anonymous
  • anonymous
Coool, actually i thought there was more to this one with the limits, but i guess it's just 0 to 1
anonymous
  • anonymous
yea it is just 0 to 1 because everything is in repsect to t
anonymous
  • anonymous
The integral looks like a good time.. lol
anonymous
  • anonymous
um in some cases u might not be able to solve the intergral haha

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