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Calculus 4.3 Notes

Added Mar 16, 2020 •

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alright so we did that you thought it can get work so I'm sorry again and came along and said hey Mason when we start staying are when we do our left and right Justified to get a great proximation of the area under the curve well what happens if just changing height what happens if I turn around and change the width to change the size of the West I will get even better work station again that limit is just approximation we found in section 2 it isn't it is a very close Proclamation is about as good of a Fox Nation as you can get but it's still on this approximation so as you go but what happens if instead of just came in the height over and over again I changed the wind to and if I change the woods 2 what happens to my approximation to get even better right so Raven came in and started painting the here's the good news the good news is we won't after this first when everything else is we're going to keep our with standard weight isn't that much better so why am I going through all this extra work and then graphing utilities came in and computer programs came in and if I want a really good approximation heck we're just to have the key to her and run a thousand adoration are tens of thousands of iteration agnese out of as good of a park Mason is anything and keeping my wits all the same so really when we start talking about Riemann yes I contain the web and has a high get a better approximation but seriously it's just going to extra work so why am I going to change both of them so that's what happened and he came through and then came for back at is that okay it's good enough as is so they all end up being they end up keeping the with exactly the same there as in the long run but it really is just what Bremen dead and now when they say you remember what we did in section or two is really just now a Riemann sum so it just gets named after him because he came in and said I could do an even better job he great that's awesome what happened with so as a betta so am I change my web I don't like the other items that with it is at the time we do 2 I'm picking up the with equation to give him he and I all right here by the theater I don't like my good news with you I've learned over Time Square minus the time right before my eyes go XP time 1 squared Overton Square other ways to practice those okay Google games do I word over and over slime all over Triad to Iceberg over -4 I what's 2 * 5 Bonanza Theme I went to prison my left my wig with my high is going to be iorn when I called Diane Lithonia High School gun I squared online I forgot so I now have the women everything birds in Infinity myweb oh and I have to go over there and then working at time of. 2 hours all right. Put them into my account and like you I squared over and over 99.1 FM 29504 so and I'm the one that Alaska Michigan pick up tomorrow. So hold on and I already booked and it's Office Word a few because I have no and I can pick up again and also like to and you're always want to cry and I'm at the tribute by so I end up with his eyes in the one and help or iPhone for that information I don't know what I did have to do so I need to stop looking at my so now I have my lemon and windows to the meeting of this word 2/2 time 4 time I squared is 10 * 10 + 1 * 2 + 41 how long are you guys 2 and I'm out of wine all over today all right so I am going to haven't you taken any time you never mind, Tenino so I'm going to go home McDonald's does cute and she knows of braids and remember I miss you guys want to disturb you . if I just screwed it. It is one of these fractions ahead of them include on the bottom of both of you so I could simplify before I deal with it since I care I can simplify out one of these in okay thank you Square so now I've got now I'm gone. Care some women handle Tim Kennedy of the square root of 211 squared time alright this guy here within 2 + 4 + 3 + + 1 sorry I'm not sober I'm going straight to the top of a 4in square Florida 7 + plus only free mine asked me to go ahead and distribute employee but acting the whole box room so I'm not living in the negatives yet look at practice so then I can up the one man everything goes to Infinity of the square root of 2/10 Square I'm born in 2004 what's 1 / 3 18 days to Infinity forsberg to inquire God breathed word of two and one of the card to all over when I when I / do not want to tell me where to buy 5 cm squared I end up where end up with the one eye or square root of 203 my email is forwarded to Orange Square all over . Euro Gyro to figure out and I'm lost is 4 / 2 Rice Lake Wisconsin and Lake Louise Lane I think so then I'll be home to definition is definition of right now, so that if I keep changing the Wiz of that in our role as they go from one to the other a little better petition to partition where he is retained in the interval of verbeten number of partitions there as the other so having a normal part 2 instead of changing the width of the partition does this mean my width is the same every time the b - A / and means that the width is always the same really bad if I keep changing you better Park Mason but then like I said we found that one adult for there where you at when they all came back down to the same approximation social what's the weather just like derivatives find slope under the curve and our goals end up finding the definite integral end up finding the area and so does derivative a specific point the inner drawings of fighting the area under the curve so the definition of what we call a definite interroll and that being that women finding the area under the curve finding the width times height as a woman and goes to Infinity the summation either one ends up becoming what we call that. B&A here is that interval sobi is my upper limit and a is my lower limit of that in a roll so as we go from one to the other so if it says the plaid definition they wants you to go through the limit to find that and that derivative that derivative sorry that interval as we knew that so if they want us to find the area I know her going from to tell continually implies that you can take the integral integral bolt in a grab the ability of it and a function is continuous loop of Arrow from A to B that hasn't entered wrong need to be evaluating that definite integral from 1 to 2 of 4 Square they want to see you guys definition so the width and the being that way you guys be going 2-1 oh my God am I high 1 / and I say a little prayer that the better than sleeping but being tight I know I'm done no limit in any event my time as I wouldn't want to and my web for one time and time. Interesting synonym and I did not answer my question I end up before time I ever over in school Fallout 4 inspired so I don't want any and and can you send me the amount of 4/8 I squared formula in there 3 Inland Empire and they do that squared you know I'm very starting at zero I think it started in here. So I'm going to finish this but it should have been plus one as I do that your attitude. Alarm for 4 4 watch work and it was crank it through too fast I should have known about it Paris turn down from one to the other the ram RuPaul Savannah seen around 57808 area under that region and it's even if I can find Megalodon a hotel room in the area of the region bounded lines and just as good. I do not know but I will I was going to hang out whenever you looked at it a couple days before so as I'm looking at this as a when I look at the world looking for the area of a curso if I'm going 1025 must come walk before my line I got so have your out here start at 5 bring the time to 5 and then we're going we're going to fly right so then go see in that to that is there be in that area right there which is now it's just a prank call so. hi okay honey in 1/2 5:55 to 5 have been careful you might something white and said picture of Mount jumping ahead of myself so I can give you without any please eggnogs I've had to do a couple things I can go I want the interval from 123 of 5 miles yeah so and I'm doing the same thing here is there a Five Guys on the five that I'm only going from one Jeffrey gray so now I have a trapezoid it was the one we're heading in this is at 4 at 3 for hitting I need to know I have my problems would shape and now which has one half the highest int edition of the bases how do I do that so is it go from like the other so now I have that area. Height is rugby between 123 and W2 my Pearl won the Monday food and gummy 4 + 2 so I end up with various x r there's also some examples other examples in the job but beware or where it's going from from one to the other also you could end up beginning like he flies part 2 functions with I would do that let me go from one to the other definition to some special definite integrals from Once the others if the sound the Ram off of each other if a run on top of each other from a to a so am I trying to find the area under curve and I'm going from cutest to her because zero so there is no area knows not what you want so it's not going anywhere so then the meaning of the bounds of the saying is there a perdon Amor by saying that equals 0 if if you have the upper bound and lower bound if you could walk them then is it being the officer so you swapping upper and lower bound then the area that is so you know the area find in squat about it then you know the area of the other is that means the opposite about as we go from one to the other so Darkness divided up Abigail problem like the other day at and it's additive ocean so so this guy I know that I want to find the air and I'll go from 2 to 4 and I give you the info from 4 to 2 of excuse is 60 to the Annabelle from two before that is going to be negative any negative we are all from 2 to 4 of QBs in the evening negative in the mall have to report it to the rescue so enjoy being negative study additive what's the additive music together different areas so this comes like in handy when we're like doing a piecewise or absolute value when you can be too so I don't have to do all of it at once I can do just fine different card I want the I want the area from -5 biggest four to five while I know the area from -4 to 3 but I have some in the area from 3 to 5 area code two together a descaler is looking for me lyrics by 4 so we are going it is 4 to 3 after. Pokemon evolve from 3 to 5 yeah and love it going to why would you want to do that well you keep something like this if I have the interval has a negative 5 + 7 + I have the absolute value of x - 3 I can't go from now 5 to 7 because if I look at the shape of the graph yeah the vertex and the meeting at 3 it looks like that prayed the absolute value in the refrigerator so it is a beam to separate states so I have to split it up so I'm I'm not from negative 3 is 1 triangle and then from 3 to 7 is another triangle so because of that this Value Pass Key I-95 is Southern about provider of act the exes that have to be bled from -5 to 7 Mac story I got asked about you yeah why 3 / 7 this guy ends up being like I have a piece of eight the big triangle and then last name I am a going back of 1/2 glad over here and up with Jason for item for iamdevale my house 4 * 4 so I end up Legend 32 1/2 of 15 + 8 + 9 turn on home theater oh man playing on for the night properties of definite integral and I don't want one habit by palmistry and then I can start being Fluffy's up and work 24 minutes away so as I go home Wednesday if I'm going through kind of just like lemons I have to take each so I have thought I had start with the deployment all us cuz we enter law computer for 10 yet my husband turn on all computer for 3D art 224 Q Style Botanical Botana the time in Iran turn all hungry before. I know you Twilight Zone Theme January 16th, nothing I won is too so this time time. money man 20 - 15 15 15 I want to see our and that I and Raymond songs so again don't like me for 2 was the worst Raymond came in and I'll email works to start with a really ended up being the exact the same as for 2 so don't let it ruin some you just saying hey it's the area that I curb with Skype I came to different web I forgot, don't forget to call me if you're confused I will see what I can do to help you out alright alright talk to you later

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Calculus 4.3 Notes

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