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Evaluate JSR cos 0 dA where R is the region in the first quadrant that is outside the circle and inside the ardioid r = 2 + 2cos 0 Draw the region R...

Question

Evaluate JSR cos 0 dA where R is the region in the first quadrant that is outside the circle and inside the ardioid r = 2 + 2cos 0 Draw the region R

Evaluate JSR cos 0 dA where R is the region in the first quadrant that is outside the circle and inside the ardioid r = 2 + 2cos 0 Draw the region R



Answers

Sketch the region in the second quadrant that is inside the cardioid $\quad r=2+2 \sin \theta \quad$ and $\quad$ outside $\quad$ the $\quad$ cardioid $r=2+2 \cos \theta,$ and find its area.

All right. So we have Wow. Now a circle cerebral. That is quite my three e a sign. Philip, witness to bar. We want to point here yet in side of that circle. Total day cardio cardio. Um okay. Are closed toe and warm blood school sign. Oh, yeah. So sure. Uh, off the looks should result off. You appeared ex want Blaine me of ah, And they appear so these will be the circle. So that circle what on, uh, on this cardio. It's still we're in. Right? I know that. Take a degree in what are hundreds do please. So, uh, at a zero should be are zero He's gonna be with you too, eh? Through an office somewhere there on Gus, huh? That Are those through at, uh, these are bye. Hearts will be just a start again. Is that one day now? Bye, people. His ears. It's like these carded my there. So the same. We're here something. Think Indy's the X axis. So yeah, the corresponding area. He's, uh, this area. And so oh, over dot Let's, uh, just compute the stop area. A one. You want some dinner? No. Till area. He's, uh, twice a one. So, uh, for anyone that is gonna be one, huh? So these area one goes from so my balls from zero up to some angle up here, it's called that animal. Um, So you want these Go from zero to thera over in the outer reduces square on the older it Is that so? Three. A sign squared minus being already square, huh? Being already sees these card is minus a square. One lost close. I know. And, uh, squared. So was that, uh so that's one of the 98 squared sine squared on. Uh, that appears gonna be these quote. Things weren't less to co sign of Thera Blasco. Shame Square that, uh so that's putting together these. You will get a mine minus one. Manny's car minus X squared. That's a eight nine minus one co sign squared. Um, minus eight squared. I stole a squirt beside off there. Ah, well, that's cool. They don't want so not to make better or lose. So is this into let's find what it is they don't want They don't want. So they don't want done on Google this through Richie Rich's mitt so that we're gonna have Okay. Don't one, um, one your school saying or theater. I say we go through three a sign so we can cancel down we get round. That's concerned. Fed icicles free. Nothing. He's obstruct uncle signing it too, So that if you divide you know that one, huh? You want to co sign up better so that the Sangraal is, uh, That I always Why? All right, thanks. So these are going to work here about meeting drop from zero to buy Tex, huh? So here, be seen. Drill. Um, so you can't pull out on the squared, you squared, It's squared. Ah, Marty Blair. Just square. Then. You know, these, uh, co sign squared is, uh, one how over one less co sign. Oh, through fair. So that this will become the square times. Dangel for bless. Uh, or course I know to Vera, um, Betty Self will minus one miners two feta, which has hilarity. Let's did up appear most of that. The zero on by thirds. We'll be able to, uh, now the squared. All right. For Veda for theater. Well, the and your four b C's two times sign go. Yeah. Lynn Mom on the thing appeared with these minus through terms. Sign Well, so that evil waited between my thirds once. You would be people, too. He squared four miners, ones of three by thirds. Mina ls wise sign of 2/3. Ah, my nose. No, this is a plus two. I'm being minus two. Sign off. Right thirds. Uh huh. So he's not needed. You need to bond with that zero. So now these results are three times zero Laina saying zero from plus plus sign of zero minus. Thank you. So, uh, zero this one? Well, snow, do you? So, uh, this is gonna be bye. Sign off to buy thirds. You have. Ah. So thirds should be make a round there to sign of Dubai thirds to be like these, So sign up to buy thirds. Is this current off three or two. So you know who by words? No size of her turned off by hurts. What would be the same? So he sells this girl with Theo. These are this all. So you could say good bye. Parents should be stew. Cancel on being Well, that area would be just Esquire. Him spy. Oh, very nice. So he said one you said we'll go. They won, You see? Well, good bye. Knows So, uh Well, uh, little area with the two time's up. So these salaries we can go still would be just two. Why? You know what our way is his body. But, uh, maybe these I'm saying Squirt is gonna be by damn Z squared. You going? Despite themselves, Corso, that is flies to any square by by any score the same.

Problem. Number 41 r is equal to two plus to court sign its feet on door is April 23 The intersection happens when a two plus two full sign straight a deeper to three so cool sign data is equal toe have so stated they were to possible negative point over three. The area is equal to two integration off dear toe over three off 1/2, two plus two Courtside a data spread minus nine. The theater, which is April to integration from 0 to 3 off a or plus eight. Or sign that data plus four core Sign this word state of minus nine. The data, which is equal to negative five plus eight. Ah cool side Ah Fator A plus two one a plus co. Sign, too. Data E Tate, which is equal to negative five data. Ah lost eight Sign state lost to data plus sign two with eight over Over to from here. Hoo boy over three, which is equal to a negative five times boy over three plus eight. But the blind square root for 3/2, plus two for over three plus half times square. Root off three over over two inches. Importune negative boy over three plus nine square off three over

Two Now the Circle Articles minus co. Sign off. Where? Andi, uh, would like to find the area in Sidle Douglas. But, Otto, our circle articles one, please. Oh, don't back. So you have been a explain playing. This is the circle is warm. And then a the circle that this one these run he's, uh, computed by the stars of deal stars There. Bye. House goes up to zero. One sees the reason Avery there a mega sign for angles going there. The call sign is negative, but But because of that radius, not also Megan becomes positive on duh. That completes the whole circle. Are you going from this one? These are okay. Zero Monday in there, there would be out of my house. I was gonna go back again. Uh uh. Bye. So he goes all dirty from zero zero. Abdul. Bye gives you that. So So when were you gonna find We'll be serial ever talking about this usually area. So one word to compute it. You through do these these one tol that area they won on this area is gonna be equal to price. They want so for a one the day only one it's gonna be one, huh? Been called from zero. Been up to the sun, Will buried release actually was actually these angle WNs many Bradys. So too it's called that animal. Oh, fuck. So I'm sure you all over He's really is a square to sign. We'll fill it up squared mine Is that squared like this one square so we'll know what itself. Why do you show so a bad angle on DDE? So who did this thing was that I'm not So, uh do you have Mmm miners two. So we're gonna have Ah, because he was the same as that. I go, we're here. We're gonna have to casino federal eagles, for one which is the radius fairies. That local peoples Who won her keys? No, the young ladies. That's cool. Which will be Oh, why hurts. So the sandals by thirds? Yeah. Were you co sign? So it's bye. So, um one. So so did this interval form shell thirds. Oh, to sign squared to these big toe Well or co sign squared the casino square. Our guest is equal to huh? One classical signs of Sarah. Shall we do that for that? Is ah too So it's one, huh, Major? From zero by thirds off. Um, two times one plus. Who signed it? Silent Farah. Mom. But he's a part. The physical to present squirt on the miners one. So, Bianca, although he's a two room wearing this warm, these weren't. This is gonna be all bad then, as it is. Angel One plus the same of here. You there just be there at beta Waas sign Vera. No, it would be really of 1/2 there. No, that's so that between, you know, when by Kurds Sure you wouldn't be able to from 1/2 bye thirds last sign off my thirds. Oh dot Mind us, it's you plus sign of zero today. Feel in Sign off my thirds. Yeah. I mean, it's your unit circle. Uh, well, my thirties visible there. Well, well, 1/2 here for the sign. What have these? Well, their side is gonna be screwed on three. Or do you? We can figure that out because the because of the tavern relationship A squared plus 1/2 word custody but one because he's lying. The circles are enough. The square will do warm Rainer's off Chuckie's 34 No, a little three or two. I'm glad he's our sign so that these will be able to well, by your seeks from school, you'll see drew us a square with three over more Until these burial computed there is I he won. So just one. This little area is gonna be two times that to house these by all their six lesson school. The free over or which is equal to these consoles. One. So bye. Thirds glasses. Good. Awfully over too. So that is the so right area. Red head. Where with? Great. I mean these you say?

Problem. Number 30 r is equal to one plus co sign. Fator area is equal to integration from Miracle Point over to over half one plus co sign Fator Square The State Act, which is equal to integration from your apple pie over to off half one plus co sign it Squared stated Lost Who co signed data data which is equal to integration off ah one plus one plus co. Sign to theatre over two plus two. Core sign Peter Defeated, which is equal to have zero plus, uh, fainted. So the stater is it Data lost half a theater lost sign to with data over four plus to sign at a theater from zero toe by over two. Using substitution eso The final answer will be and a half by over two minus zero plus half by over two minus zero bus zero minus 0/4 plus toe one minus zero, which is equal to ah, half by over two plus boy over four plus two, which is equal to, uh, pretty three. A boy over a plus one


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