WEBVTT
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use a computer, the center ofthe best for the
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densities. Give him by the curve for the wires
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given by this pyramid. Carmine Kerf density given by
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the square of the distance which is that school prosperous
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crypt plus the square. And if your computers t
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squared plus one and the esus DX DT square Krusty
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, why did he score? Project his square And
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is it you can use a computer that should be
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square off too. And Titi and uh, before
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I start is problems already compute is too into grow
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. I mean these two. You can just do
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integration by part twice together. Conclusion I'm computed beforehand
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because I'm going to use it later. And I
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don't spend majority of the time in this problem computing
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the integration by parts. Anyway, let's see Soto
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Computer Mass. We simply have to hint a girl
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, Um, from zero to two pi times are
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hard wrote he squared plus one. Yes, his
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square root of TT All this math start swearing about
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Tootie Square plus square root of two. So swear
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it up to you as far easier to just put
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it outside zero to two pi. Thank you,
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Boris Reprocessed stall. This should be eight pi cubed
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over three cost you a pie. So that is
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a mess. How about the How about the center
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ofthe mess? So in the case of center ofthe
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mass, we have to Hey, Chris, from
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zero to two. Pioneer x Times room and access
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T Time's ro is t score plus one. And
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yes, is squaring up to D. C.
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Well, I put him here, miss a mess
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so as a and we have to divide by him
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. But do it at the end. Keep your
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pastilles and that gives us the form over for crossed
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the square over too. So this is sixteen pie
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for over four four pi for plus for pi square
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over too, which is to pi squared. And
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what is him? Him? Is this square root
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of two snowy, No hex like a sex party
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course This party, divided by square's too, can
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so out. By the way, I hate overs
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three pi cubed plus two pints so we can sew
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a pie to pie eight o ver sary Paice.
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Trust me. And, uh, now that's compute
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this. This should be a row times Why so
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in tomorrow from zero to pie drome times why is
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co sign t and he s squared of beauty.
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Here's where I need the form right The first page
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. Otherwise, I'll spend all the time to integration
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by Park Boys Co City So we have t square
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minus two site B plus to be cool So that's
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t square Holstein heap Arcosanti Part will be we'LL be
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negative Sign t the entire sorry positive sign t the
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anti derivative. However, this one If you point
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to pie, this will be cereal. This will
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be zero and this will you have. If you're
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trying to buy, the sign will be zero So
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this will just be for pie and co sign you
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will be one if a problem zero See Marie Science
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All the scientists would be zero and co signed term
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will be one stole There isn't anything that this Mr
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Interesting there Make sure if I get this correctly.
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If I buy two parties will be zero zero and
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for pie time Swan And if we province zero zero
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zero that's ours right there. There's no minus four
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But I got this wrong. Oh, probably zero
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Every time is zero beyond this room. We have
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a team from this should just be like this and
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issue these four square of two pi and And we
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have the formula for M. So my horrible just
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before squared off to pi over hate over three Pike
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. You plus two. And I think we can
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sew a pie And this computer Last term similarly,
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zero to two pi dro times scene He is a
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scientist and the yeses square with TT on t score
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side here. We also have a form. Now
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your side plus two minus his score. Coke side
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. Sorry. This should be from zero to two
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pipes. Get now. We have the square root
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of two times that. And, uh, the
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scientific part is nephew of co sign. So if
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we probably to pilot zero here and, uh,
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pulling into pie, will ya? Two minus four
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pi square times one minus one minus four point zero
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zero Uh, minus two with point zero zero plus
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two minus one year. Always should square it up
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too. Two minus four pi score minus one minus
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two plus one. So we also get Oh,
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yeah, minus four. Pi squared Times Square.
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The two. Sure. Yes, Oh, so
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the partial p this over over the mess square root
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of two. A pike. You over. You
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know, I think I forgot something here. You
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sure? Ready. Cancel a square root of to
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So sorry about that. Why? Partially this on
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the bar. Toby, This over three plus two
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pints. How can saw the square root of two
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? Only because you can sew one of the pine
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once you have a formula is just a detail computation
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.