prove-theorem-23

Name: prove theorem 23
Uploaded: 2020-06-25
Duration: 58 s
Channel: Numerade
Description: Prove Theorem 2.3

Question

Prove Theorem 2.3

Amit Srivastava · Accepted Answer

we need to improve till room. Toe wine, threes. It&#x27;s a Is that for any cough? See, vanity is in gives Oh, opulent off the girl. See? So our plant is given by the the yes is a good on the road EC stashed in will score less. My dirty was square lady. So let&#x27;s prove this. We know that s is given by limit Steve tending to zero summation. Isaac will want to do anything X I start being more square blessed by I. Dashti was where lender DEA die. It is equal toe integral of a to be previous.

Amy Jiang · Answer

of this. So we want to grow the following. So let&#x27;s start with our left hand side so we can expands our information. So that gives us see a one plus c a one plus de a two plus d a to. And we&#x27;re convinced related to do this up to our last term, which is a n Okay. Now, notice on the right hand side would, um, you want the summation of AI. So it&#x27;s group are basted ever. Well, I wrote this one. We should be a b. Okay. So we can rewrite this as c A one plus c a two plus c 83 most other thought of to see a n. And then we have two plus our remaining be turns. So that&#x27;s, um, that Steve be one bus B B two up to G B noticed that we have a scene comin into in front of each a term. So we contracted out, and then we can do the same for our D firm here. Okay. And I&#x27;ll notice that this is our summation. So that is we have see, Time&#x27;s the summation from allies who would want to end of ai plus the defense&#x27;s summation of Isaac which one to end a P I. And this is equal to our right hand side.

Amit Srivastava · Answer

We need to prove the two room to say that ethical FX televise it. It is the poor little pull. See Viner pigs by the last Gulf See to ethics, Waas said. Up do go see it and fix my bike. A What is it? Well understood This the first parties There&#x27;s a partition. Be optical from It&#x27;s not from Why not? Because the Lord of Two eggs and July in Roma presented. But this partition is from C to minus e. Notice that regardless good direction that the girl is dry wars. Then there s I insert blend coffee Go So see I off Dicko will be given by the integral Exide Star by star that I start So Raymond Some delinquent people immersed below Toby equals many pursued in Children Song is equipped therefore it remains a music will limits will be equal. As for the Lehman story, second is to prove the song. Now we know that there are other integral is which are indistinct on the day I would say so There is lemon Soon we combined c one plus c do up to see your then the limit off This combined some will be individual limits on the right, so there&#x27;s some other into. Grows on is very small on the pieces off, see. So therefore, the function and see is given by Stephen off the limits. A new CNN eggs by little miss it because Rehman&#x27;s some on lived well, be interesting as in vigorous on the right lanxess.

Amit Srivastava · Answer

till room to final four. So they&#x27;re distinct. One pot at four picks from a vehicle. Was it the Yes, is It will do a to B ample Expo MTI by D. Zander de In due date there is proof this tool so by definition and to me effort X&#x27;d Brian Deane de de de is given by limit summation one doing If that XT even the star by the star isn&#x27;t Yeah, Stark the d I We know what the next is different. She able the minimally Children tell us that in each and develop a partition we can&#x27;t use any bad elation point So except the I minus except dear minus one Is he putting on their tired excited? It does it will do X But the star they&#x27;re dirt dia So our evaluation pointed they will do Isaac will want to any and Ben exigent star by star that I start there don&#x27;t accept We know that X t is continuous function. So then that d i on their done excited think will do zero Rijn Bligh&#x27;s the normal boat X t anti partition rose you So therefore it will be function at that exact D by at D isn&#x27;t at de in doing stash. The empty will be well too. Limit beat Ending 20 Information identical toe. I want to win function that thanks The star by de I start send d I start x dash the star Duh. Do you and I So this is a weirdo. We&#x27;re seeing that this function is a star star by the star that star they died except and dysfunction is equal to function or see a big school like, um, was it d x?

Ernest Castorena · Answer

we are given that revenue and a vector rally in function is just equal. Teoh, the constant multiple of, ah, derivative for the rectory get arrested. Prove that can see it was the same that we wanted to take the new video component wise, uh, but seem seeing all right, one team. Oh, and for their proofs, they only assumed three compliance. So we&#x27;ll do the same year, actually only assume taken home, which is standing then as they seem Three components. So, uh, say this is a function of Let me hear, son. No, this is a function guillotine. This is a function agency. I think that there, this man&#x27;s seems taking the derivative component by fine the guillotine seal Greeting the evidence. See of angel you get and what we know from our properties of derivative and scale A valiant functions we can pull this year. The derivative operating it Teoh, be govt. See, Dave did here, Rachel team and well, now from Rector Properties with pull out of scale it. So we get C Do you have lead me efforting? See the agility? Guilty on the deity Nature&#x27;s him. And what&#x27;s director on the right? That&#x27;s just our definition of ah rector. Really a derivative. So see of our time of deep. There we go

Ernest Castorena · Answer

proof of fundamental term for Let&#x27;s see inspector valued function, do you think? And they say, suppose that this function is the anti derivative. Ah, regular director rallied function on the interval A to B. What&#x27;s the anti derivative? That with this integral just equal to the anti derivative evaluated at the infant? Okay, well, let&#x27;s just hear that using definition 2.6 for the definite interval. So the definite integral says that Nancy, all right TV team is equal to There&#x27;s a definite in general of the abundant. May be, uh, are one team if it definite integral of the same component anything. We&#x27;re only gonna use three component Terry, because in the proofs for the section, the author only bothered to do three dimensions to I think it. And let&#x27;s see, we know by the fundamental terror of calculus this is just the anti derivative of the first component evaluated at the end points. Okay, Is there just one dimension Law scale their function so we can use our They really made for the one dimensional business. No party I tried to and our three, uh, beat subtract are three of eight. But what is this? This is just are one of me hard to be are three b, some trad the vector, uh, our one of a are two of it and are three of it. Well, what did beautifying for indefinite integral? Well, the anti derivative is electorate valued function such that when you think it&#x27;s derivative, you get inside here Well, when we use the fund amounts of their calculus or what I mentioned were actually calling on and theory. So this is actually the anti derivative for each component. So it&#x27;s anti derivative for the whole. So this is our evaluated that be, and this is our evaluated at eight, and we have what we wanted.

Problem

Prove Theorem 2.4

Problem 65 Medium Difficulty

Prove Theorem 2.3

Answer

$\int_{a}^{b} d s$

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$\int_{a}^{b} d s$

Calculus: Early Transcendental Functions

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Kristen K.

Michael J.

Vectors Intro

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Robert T. Smith, Roland B. MintonCalculus: Early Transcendental Functions

Lily A.

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Kristen K.

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Robert T. Smith, Roland B. Minton

Calculus: Early Transcendental Functions