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Consider the function f(x)9. In this question you will calculate{( } dx by using the definition fr) dx= Etxi)The summation Inside the brackets is Z- which is the Ri...

Question

Consider the function f(x)9. In this question you will calculate{( } dx by using the definition fr) dx= Etxi)The summation Inside the brackets is Z- which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval of equal length. Calculate &- for flx) = -3 + 9on the interval [O, 3]and write your answer asa function ofn; 3- 4Qo- 42 0 A 3n=- +27 2n-3-Qn_42 B. Ra = -27 2n23(+4(ln - 1) C 3n = +27 Zn-3n_n-) D. Rn = +27 Zn2

Consider the function f(x) 9. In this question you will calculate {( } dx by using the definition fr) dx= Etxi) The summation Inside the brackets is Z- which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval of equal length. Calculate &- for flx) = -3 + 9on the interval [O, 3]and write your answer asa function ofn; 3- 4Qo- 42 0 A 3n=- +27 2n- 3-Qn_42 B. Ra = -27 2n2 3(+4(ln - 1) C 3n = +27 Zn- 3n_n-) D. Rn = +27 Zn2



Answers

For the Riemann sums on an interval $[a, b],$ in
determine $n, b,$ and $f(x)$ $$\left[3(.3)^{2}+3(.9)^{2}+3(1.5)^{2}+3(2.1)^{2}+3(2.7)^{2}\right](.6) ; a=0$$

Alright for this problem. The first thing that we want to do is calculate our delta X. So we're told that we're going over the interval from 0 to 3 in three equal Southern tools. So DELTA X is just going to equal one. Now, having that our S three here, it's just going to be the function evaluated at 0.7 Plus. The function evaluated at 1.8 Plus. The function evaluated at 2.4, going to pause and write out what each term there will end up being All right. So each term there, the first one we should get negative 9.01. The second term we should get negative 11.76. And the third term is going to be negative 12.24. So adding everything up there, we should get negative 33.33.01.

Let us find the proximity, thereby applying the print like of breaking Point shoes. So here we have the functions. A perfect sequel minus billions Does nine. The index of zero commodity. We have to find the function values. So let's up like they're given intervals. Yes, so your pop's eerily were true planets. Three into a little glass. Nine. Equal of light before one equals two minus three times War plus 90 quarters. Thanks. Six on the next day per week were do yeah, minus three times two plus 90 12 3 If all three you gotta do minus three against three, let's 90 quarter to zero. So let's grab the one function They are playing these points, so dance with them X and y axis on the graph. I wonder next Texas we have the unit one, do you? Oh, by in y axis, we have the unique by then with the so let's not the point. So when the X equals zero y eggs, why is nine Oh, 11 when one off the next. Equal to what way? Six. On, uh, to come off three on zero. So we have nine. So this is the map of the function. Let us find a 80 off this. Strangled by a plane left in part and writing for true was to be Allah rolls off the on party sharing this of you any trouble. Zero comma three eating three something terrible's So we have the votes says so. We close, you know, do wedding the doubling two threes of in doubles. So they get about saw zero comma one, one Come on our monthly. So first we have to find that the dates were you their rights equal? We minus you. You got that idea? Yes, These days you know, e any sum number pops up Anger books. We are defending this into three intervals. So we, uh I mean so three developed by 31 So from live and find drew the 80 year Yea woe the guys If all zero Lucy 1/4 1 let's get off food. So it's a playing these land use. So let it The Giants is war. It fell. Zero is nine nine Bless six less The cheese equal. Do you, Dean? So you intend to one equals? Do waiting. So this is there. Approximate ideally have been lived in by Andrew. So next we are playing, right and boy approximation. So yeah, writing launch. You deal. You ain't going to Well, you hear you going toe die x It will war. Bless you both. Place it off. Three. So substitute these values. These this a few values. So we get warning to six plus belief that needle sources best buddies 9/19 1 knees nine felidia but they can't find true is equal to nine. Next wake her up to divide things interval into six off intervals. So what bothers me? We had debated selling Douglas as zero comma zero. But is there a point by zero flying play? Come on, one 0.1. Come on. One fine place 11 like play somewhat good. Become a blind. I'm to the point flight from what? Three. So these are the six up in their bugs. They just fly. Didn't Thanks for these six up in the gloves we get leave minus zero. You better by six equals one by two, two people in your point. But so that doesn't play the lettering. Quite true. So you idea you go to this is to live in one true change Orange So the idea you go, are you Then die X into geo bond. So you're welcome, Zito. Bless you both. You don't want fine. Plus, he quote one, this is awful one point, But place your fault. Do listen for the blanks blood. So we have to know the function value When your secret is you don't find one. So 0.5 is a 1.5 and 2.4. Let's up. Play these explosives in the function we get in full you know fine by people Remind us three times zero point by that's nine equals Jim seven points useful one Fine, fine. We call to minor, please James one plan last night. Be good for a blank slate. It's really it's equal to one by we get minus three Dying scoop one flight. Let's nine a brunches my life like let's up by lifting Blind Drew. But these up in bedlam look in orange so the really equals ju The dying sees one read off the bar, so their diets is general 0.5. So your problem Zito easy and I we have nine less when foreign play less, he sees that's full point less three thank you. Let's one point place. You wouldn't simplify these. We get judo 0.5 times. Do you work for banks? Do one point fly when my place used to values, We get this thing for seven. So the FBI work 17 So what? It So let's up. Let the right in point about these intervals when raising point you go up to didn't Thanks. In truth. Yeah, well, it is a little point by it's both one plus one plus your full 1.5. Let's see a public school Blissett for 2.5 less than three. So played, thes learned. Use then why it sees little one it off. Zero point flying Is someone going front? I love the book one Instincts that's a focal in front by the school 0.5. The police think that's a full scoop point for a used one point play. You're both please, little when simply five days we gauge. This year you go up to live in applying to its light who this is the proximity and you're running by like 10.2. So we have to find that chilling video so we know you get the triangle He's equals ju one, but I do nays in tow. Hodge. She was here. We have the base. When newest three. I'm on the maximum height ease night. So divided by two it was in point. But so this is the actual This is the actual er, you know the triangle.

Yeah. Alright for this problem we want to calculate the Riemann sum S three for the function F of X equals x squared minus five X minus six, partitioning the interval from 0 to 3 and 23 sub intervals of equal length and letting C one equals 0.2, C two equals 1.5 and C three equals 2.8. Now, since we're partitioning the interval from 0 to 3 into three sub intervals we'd have that are delta X is just going to equal one, which means that our S three here is just going to be some from an equals one up to three of F evaluated at CNN. So Evaluating our function at each one of these points, C1 up to see three should get negative 6.96 And we'd have plus negative 11.25 And we'd have plus negative 12.16 Adding all of those together. We should get negative 30.37.

Okay, let's look at this question. So we need to account with real information for these bombs Have years. Thanks Last long and access bomb Jiro. So again now that limit race during this. Yeah. Wrong. Hey, Mom. Having now c a are still we can't know. Thanks is so and at stake here would be reading There's three right about then Once the times you start asking here st But no, it's for you. Hey, Yeah, Let's give us this Three referred of you. Bring you? Yes, three bombs. So in that these you see then use cute since he bye been square. What? This burb You on three Oh, sir. Months and you sell safety you these feelings.


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