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Find the average value of the function $f(\rho, \phi, \theta)=\rho \cos \phi$ over the solid upper ball $\rho \leq 1,0 \leq \bar{\phi} \leq \pi / 2$.

$\frac{3}{8}$

Calculus 3

Chapter 15

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

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All right. So you want to We're on the over. Great. Beautiful. So these are like we have our bull Brady's one. We're just going to be there. These part Probable Be Is she all the plane? Uh, this plainly see equals zero. So you have that ball Do you want to consider here? It's called these bowl. Yes, and we're going to consider the average Joe. Ah, well, grow casinos. The chapel is busy. So all there? Yes, I'm double. Yes. Is described by a spherical co ordinates. Role is lives on. One fee is between your turn my house. So these jungle, she's uh yeah. What Would Gae Yeah, suck sees you have a void in here. Last prediction or there? Um so the decencies, bro. So I always fee, but I go over the extra place. Dana, look all these ex Why are you Is that a role? Because I know fees, See? So these average we goto radiant over s its function row. Of course I know. See, you have to include the accordion over one of her people. You want this well said these would be equal to Roco side Sophie. Physical readiness rolled, squared Sanofi. He was very gold coordinates. And then you grow you there on Rose from just the one Feagles from zero to buy. House is the opus. Fear of being there was from ship. Why, Um So what we gonna do first? Central? Because nothing here depends on huh? And I won't receive us tow by 92 to buy. I'm being here. We have, ah, into the central now. Roll Cube. You know she's gonna be into bill maturity from rather than four, 43 way before. And in case you're warm, that's gonna be just one foot two people to God. That was 1/4. There's a danger of from zero to my house off. No sign of fee. Sign off, E. You see, you may go. These, uh what is America? You have to be equal to sign Sanofi, then do you? Well, legal toe co sign off. E d. C. These internal these intro view you keys. He's quite a halfs. And so, uh, with these, you would be you seen through It would be, uh, sign. Well, who Squared hose. With the end. Out of all of your meeting, I have zero will be ableto enough by half seas. Uh, one on the well, One squirt of in sign of zero. He's, uh, zoo. So it will be just one house. So that these were golfing people, too. To buy what floor? That was one, huh? It is going to buy forth Dana. Well, we're not done yet. We just computed his piece You go to buy for No. For the volume of fears. You can do well. Just integrate or s support for duds. You have, uh, body. Yes. Legal. There goes from zero to buy Feagles. I'm just fine. Rose from just one. Ah. So square sign off the row. Um, do reading, you know, we get Bye. Then the drill square to go That is able to grow cute. There's it was the daddy of all my idea. He is young one, maybe just people to 1/3. So 1/3 minus. You're so just 1/3. So 4/3 times these interval intro from zero up by no sign of the the fee that has beautiful minus co sign. Uh oh. It was going to buy house, because if he's, uh yeah, half this year. So you just offer there. Well, just prepare for G. So these, uh, it's gonna be that on then this intro the, uh my name's Cassandra fee. Oh, so that it won't be anything by house zero. So this is gonna be minus. So my house is you, uh, minus close. I know you to the school. Sign a buyout. You and this is minus one is one. So it's just one. So that the volume physical to to buy thirds. I'm Daisy. What? This would be these functions so that the others we talked to by force divided by, uh do Bye. Thirds. One soda. Is he going to die? I would love to grab. Yeah, over doubled my dad, which is equal to, um three by over. Kudos for pie. So don't be visible to three over to dance for, so BC, equal to, Well, three over a somebody's average. We'll see over the opportunity. It's you

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