anonymous
  • anonymous
find centroid of the region bounded by y=ln(x) the axis and x=e
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1352954819183:dw|
tkhunny
  • tkhunny
First, you'll need the total area. What do you get?
anonymous
  • anonymous
you have to do double integral to find mass right?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
so it will be (e-1)p?
tkhunny
  • tkhunny
Right, I assumed the very common uniform density. Sorry abuot that. "e-1"? No. How did you get that?
anonymous
  • anonymous
im confused about setting out the integrals limits
anonymous
  • anonymous
is it e(loge-1)
anonymous
  • anonymous
\[\int\limits_{1}^{e}\int\limits_{0}^{\ln(x)}p dydx\]
tkhunny
  • tkhunny
\[\int\ln(x)\;dx = x\ln(x) - x + C\] (e*ln(e) - e) - (1*ln(1) - 1) = e*ln(e) - e - 0 + 1 = e(1) - e + 1 = e-e+1 = 1
anonymous
  • anonymous
what is that? is that a mass?
tkhunny
  • tkhunny
\[\int_{1}^{e}\int_{0}^{ln(x)}\rho\;dy\;dx = \rho\]
anonymous
  • anonymous
for the center mass the integral will be the same?
tkhunny
  • tkhunny
It's not a matter of guesing or whether we can predict it or how we feel about it. It's just how it works out on this one,
anonymous
  • anonymous
\[\int\limits_{1}^{e}\int\limits_{0}^{\ln(x)}xpdydx\]
anonymous
  • anonymous
just wanna know if this is the integration
tkhunny
  • tkhunny
Yes, that is one of them.

Looking for something else?

Not the answer you are looking for? Search for more explanations.