5

Suppose the following data points are generated by 3 smooth function i(x):-23 0430Q.-173 0L09173 0L0928 04300fx0M150&4L5Approximate [_f(r) dx using the composit...

Question

Suppose the following data points are generated by 3 smooth function i(x):-23 0430Q.-173 0L09173 0L0928 04300fx0M150&4L5Approximate [_f(r) dx using the composite Simpson" rule with n = subintenals-0.62040.47670.61850.4725

Suppose the following data points are generated by 3 smooth function i(x): -23 0430Q. -173 0L09 173 0L09 28 04300 fx 0M15 0&4L5 Approximate [_f(r) dx using the composite Simpson" rule with n = subintenals- 0.6204 0.4767 0.6185 0.4725



Answers

Approximate the values of the integrals defined by the given sets of points by using Simpson's rule.
$$\int_{1.4}^{3.2} y d x$$ $$\begin{array}{c|ccccccc} x & 1.4 & 1.7 & 2.0 & 2.3 & 2.6 & 2.9 & 3.2 \\ \hline y & 0.18 & 7.87 & 18.23 & 23.53 & 24.62 & 20.93 & 20.76 \end{array}$$

So hello everyone today, we're going to solve the intern 2 to 14 of why the X. With the given values of the question. So you need to use the Simpson's rule for this given that the expertise and the wife of these are given to us, we need to find there's the X. And plug it into the equation. So to find dr X we need the Manistee over and B is given the the upper hand moment given us 14. a. is given us to or in so and will be a this when will be two, and it'll be six. Now I'm going to explain you why in the six, so The first term which is X is equal to is always X0 X note. Uh So this um People here is X0 then comes X one, then comes X to six X 28 x three, 10 X four and 12 X five. And then finally 14 x 14. So to find an we need to I had all these and -1 because this is the In plus one Tom so this will be seven minus one which is six so N. B. Six so this will be 40 minutes to well so that would be too Now you have delta X. And you have the formula for center through which is integration from A to B F X. Dx approximately delta X over three of fx not plus at all. That's not that you can call it F ex hero for fx one was to have fixed rate was four or five X three plus goes on. Yes of X. And and um you need to alternate between four and two except for the first and the last one which do not get multiplied with any uh term for two. So now you have the form that you have and you have the X. You have the values given, you just need to plug it into the main equation so that the X. S uh bags over three is too over three into. Now we're given why as the X. Not as 0.67 plus. Now This will be four into two point 34 first Will be two and 2 4556. Yes four and two 2.67 first eight. And okay. Uh Doing too 2.56 around the store again plus four into 4.78. And then finally the last room which is the last 6.87. So that's your equation. And when you play this into the calculator, you get 44 points. Well, let me just read that 44 approximately 44 point six 26 And you can approximate this to your textbook on services 44 0.63 and that is your client answer guys. So we just have to find and that was the main problem. There's a question and then we just had to plug it into the formula portion control, which is really important. So I think I understood understood that and thanks for watching.

We want to compute the integral given and then approximate with the traffic soil and Simpson's rule. So we had the integral from 1 to 2 X cubed dX. We're an equal six. We're going to approximate with an equal six for the two rules. So first we find the exact integral integral 1 to 2. X. Ebx is actually four for four from one or two or four minus 1/4 equals 15/4. Before we numerically integrate, we make the following notes. Delta X is about to take with one aspect of that Cube. Our sub regions or sub intervals or X articles one X 21.5 up two X five X 61.75 And to thus we can now approximately. So by the track was a little rule. The integral approximately Delta X over two times the quantity in parentheses or 3.77 Simpson's rule, the integral is approximately delta X over three times the sum in parentheses were ended odd and even Giving 3.75 the Simpsons will give us an exact answer. Trapezoidal rule is slightly off

Hi, you guys. This problem is to evaluate the integral from 1 to 3 for function X cube with chaps oi to rule and seems since rule respectively. So let's see, in this problem, the left hand said left endpoint off. Interval is one. So a is one in the right hand, right end point off interval is three. So be discreet and the number off sub intervals in in six. So we need to divide interval from 1 to 3, 26 parts even be okay, so x no is one Xel one will be one plus 1/3 because the lens off each sub interval is be minus a over in, which is three minus one over six that Hayes to over six. So it's 1/3. Okay, so extra one will be one plus 1/3. So it's four thirds and then x two. It's four, sir. It's plus 1/3. So it's five thirds and the X three will be 5/3 plus 1/3. So it's too. And the x 487 thirds x five is 8/3 and x six if the right end 60.3 so we can use the these notes to evaluate the integral by traveled toid or rule so the integral from 1 to 3 x cubed equals to being minus a over to end. So is three minus one over two times six F off ex non is f off one. So it's a one cube. Plus, the second turn has question, too. So it's two times 4/3 cubed and then to coefficient again. Two times two cubed and then two times 7 7/3 cubed, ending two times 8/3 cubed and then one. The coefficient for the last term is 11 times three cooped okay. And the we can use the calculator too. Even if this number that would be approximately 20.2222 Okay, then can use the same since route to revert to the same integral. The only difference is the coefficient. Okay, so it's three minus one over two. Sorry. Three times in. So it's three times six times one cubed again and then the second term has the coefficient four. So it's four times 4/3 cubed, and then the next term has question too. So it's two times 2 5/3 cubed and then four again two cubed and then to again, seven thirds cubed and then four again, eight over three. Cute. And then the loss of term has the question, The one So it's three cooped, okay? And we can use the calculator two calculate this value that is 20 point zebra was a really clear of the room. Okay, so the last thing is, we calculate to the exact value off this into grow. So we can do this because this is a really simple function, and the anti derivative can be easily found. That is 1/4 execute ex forth. You've allied from three and one, So it's for 81 minus 1/4. So it's 20. Okay? Said we can see the exact value is the same whether the Simpsons rules results. So in this case, the Simpsons rule is more accurate than the chaps. Oi! The rule

Alright for this problem we want to use the trapezoidal rule and Simpson's rule to approximately integral from 0 to 3 of 1/2 minus two X plus X squared with any equals six. So to begin, I'm going to declare the different parameters for our approximation methods so we have A equals zero and B equals three. Then we're going to have any equal six and our function that we're approximating The intro of or the integration here is 2 -2 x plus x square. So uh next we plug that into the trapezoidal method down here, We get a result uh with their asked for three significant digits, so three significant significant digits. Excuse me? The result is 1.88. And then using the Simpson method down here, the result is 1.89.


Similar Solved Questions

5 answers
If Exlv; and Ei_obn are two series with positive terms and Qn < bn, then one of the following is trueA) If ER_ln converge, and limn-o & =7 then Eioba convergeB) If Ewan converge, and limn-oo] =7 then Eiobn diverge C) If Eioan diverge; and limu-+0 { then Enoba converge D) If Ea_oln converge, then Xaoba convergeE) If Eazoba diverge, then X;oa, diverge
If Exlv; and Ei_obn are two series with positive terms and Qn < bn, then one of the following is true A) If ER_ln converge, and limn-o & =7 then Eioba converge B) If Ewan converge, and limn-oo] =7 then Eiobn diverge C) If Eioan diverge; and limu-+0 { then Enoba converge D) If Ea_oln converge,...
5 answers
Var(et+1)Var(IT+I IT(1)) Var (b1 + bz(T+1)+€t+1 ~ a Ea - a)"= TT_k -(1 - a) " So k=0 Var (cT+' Ea -a)Ir-e) as T _ (Exercisel)
Var(et+1) Var(IT+I IT(1)) Var (b1 + bz(T+1)+€t+1 ~ a Ea - a)"= TT_k -(1 - a) " So k=0 Var (cT+' Ea -a)Ir-e) as T _ (Exercisel)...
5 answers
Which gas-phase atoms in their ground states will attract magnet, Chlorine, Cl or Copper, Cu? Chlorine only b) Copper only Both Chlorine and Copper d) Neither Chlorine nor CopperAnswer:pts:Must show the Orbital diagrams for both atoms:ChlorineCopper3 pts. each
Which gas-phase atoms in their ground states will attract magnet, Chlorine, Cl or Copper, Cu? Chlorine only b) Copper only Both Chlorine and Copper d) Neither Chlorine nor Copper Answer: pts: Must show the Orbital diagrams for both atoms: Chlorine Copper 3 pts. each...
5 answers
36. Find the following: (Show your graphs) a) P(z = 1)6) P(z2 2)c) P(Z <-2)d) P(-25<z < 0)e) P(O <z<2.0)
36. Find the following: (Show your graphs) a) P(z = 1) 6) P(z2 2) c) P(Z <-2) d) P(-25<z < 0) e) P(O <z<2.0)...
2 answers
H1 =hkz + k1kzAll expressions are incorect h1 =h2+hk2+k1kz+hlzh1 =h+12undefnedh1 =1h1 =I2+h1k2+k1kzh1 =h +Izkz +Kkz+hkikzh1 =0h1 =h1+I2k2+Kikz
h1 =hkz + k1kz All expressions are incorect h1 =h2+hk2+k1kz+hlz h1 =h+12 undefned h1 =1 h1 =I2+h1k2+k1kz h1 =h +Izkz +Kkz+hkikz h1 =0 h1 =h1+I2k2+Kikz...
5 answers
Sketch the surfaces.$$4 x^{2}+4 y^{2}+z^{2}=16$$
Sketch the surfaces. $$4 x^{2}+4 y^{2}+z^{2}=16$$...
5 answers
Which of the following molecular orbitals represents the LUMO of buta-1,3-diene?Select one: 8888 8888 8888 8888Coreiin
Which of the following molecular orbitals represents the LUMO of buta-1,3-diene? Select one: 8888 8888 8888 8888 Coreiin...
1 answers
Suppose the circular track in Figure 5.1 has a radius of $100 \mathrm{m}$ and the runner has a speed of $5.0 \mathrm{m} / \mathrm{s}$. a. What is the period of the motion? b. If the radius of the track were reduced to $50 \mathrm{m}$ and the runner maintained this speed, by what factor would the runner's centripetal acceleration change?
Suppose the circular track in Figure 5.1 has a radius of $100 \mathrm{m}$ and the runner has a speed of $5.0 \mathrm{m} / \mathrm{s}$. a. What is the period of the motion? b. If the radius of the track were reduced to $50 \mathrm{m}$ and the runner maintained this speed, by what factor would the run...
5 answers
Ejercicio #4 Si la fuerza gravitacional que existe entre dos objetos es de 6.00 x 10" N. Sera la fuerza gravitacional fuerte 0 debil? iPorque?(4 pts)Ejercicio #5 Explica la relacion que se observa entre las dos variables (fuerza y masa) que se muestran en la grafica (5 pts)
Ejercicio #4 Si la fuerza gravitacional que existe entre dos objetos es de 6.00 x 10" N. Sera la fuerza gravitacional fuerte 0 debil? iPorque?(4 pts) Ejercicio #5 Explica la relacion que se observa entre las dos variables (fuerza y masa) que se muestran en la grafica (5 pts)...
5 answers
1_ Give the IUPAC name for the following compound. (5 points)
1_ Give the IUPAC name for the following compound. (5 points)...
5 answers
You are playing game in which YOu roll 2 dice. If the Sum of the two numbers showing greater than Or equal to 10, YOu win_ What is the probability that YOu win the first three times YOu play? What is the probability that you win exactly three times out of the first five times YOU play? What is the probability that the first game YOu win is before the tenth game, but after the fifth?
You are playing game in which YOu roll 2 dice. If the Sum of the two numbers showing greater than Or equal to 10, YOu win_ What is the probability that YOu win the first three times YOu play? What is the probability that you win exactly three times out of the first five times YOU play? What is the p...
5 answers
Quuitio!Does reaction OCCUr when aqueous solutions nickel(I) chloride and #Tmonlum sulfide are combinedd? Oyes OnoIfa reaction does OCCUE;, write the net ionic equationUsc Ilie solubility Poiucd _ OWL Prcpartlon Pae to deletrittne Ile solubality of compourfs Btm€ pocu Eacy -uCI ~(aq) = IlnRot not Iccded Ientc u UlarikSubmlt AnswerRetry Entlro Gtoupmore ((oup sttempts (emJIning
Quuitio! Does reaction OCCUr when aqueous solutions nickel(I) chloride and #Tmonlum sulfide are combinedd? Oyes Ono Ifa reaction does OCCUE;, write the net ionic equation Usc Ilie solubility Poiucd _ OWL Prcpartlon Pae to deletrittne Ile solubality of compourfs Btm€ pocu Eacy -uCI ~(aq) = IlnR...
5 answers
Solve the linear programming problem. (If there is no solution,enter NO SOLUTION.)Maximizez = 5x + ySubject to x + y ≤ 1154x + y ≤ 160y ≥ 59x, y ≥ 0The maximum value of z is ( ) at(x, y) = ( , ).
Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 5x + y Subject to x + y ≤ 115 4x + y ≤ 160 y ≥ 59 x, y ≥ 0 The maximum value of z is ( ) at (x, y) = ( , )....
5 answers
6+10 you nncasure the Litetimne of # random umpk of 64 Jireu of u centain brand The umpk mcun Min 50 months # Suppota that tbc lifctitnes @r tires of this brand follor norl distribution With urknown mczn / and wandard &Tutioa IkeIuA 9T . conliknce Inlntal f ## 49 80 Io S0 20 6**64 bSEG 459 IS61 140_ 6
6+10 you nncasure the Litetimne of # random umpk of 64 Jireu of u centain brand The umpk mcun Min 50 months # Suppota that tbc lifctitnes @r tires of this brand follor norl distribution With urknown mczn / and wandard &Tutioa Ike IuA 9T . conliknce Inlntal f ## 49 80 Io S0 20 6**64 bSEG 459 I...
5 answers
Resoecerging . Ancuecltocacco placed 2 044 dutance cm to the U 1 1 8 1 1 1 1 Hroruuc L 1NeadNaip 1 E-caaan DdC
resoecerging . Ancuecltocacco placed 2 044 dutance cm to the U 1 1 8 1 1 1 1 Hroruuc L 1 NeadNaip 1 E-caaan DdC...

-- 0.021841--