5

Vunug Tlt whether tl mrics Jun Ttt tako Muuin "ivetot MnIIstlic Vi-m Tn duiar$ Mntiu cotiverxeuct YOu Mulst stale wlnt "{nuge Me F4"F ` vulue Hth- li...

Question

Vunug Tlt whether tl mrics Jun Ttt tako Muuin "ivetot MnIIstlic Vi-m Tn duiar$ Mntiu cotiverxeuct YOu Mulst stale wlnt "{nuge Me F4"F ` vulue Hth- litqsit 2G" Rctio Tcst () unci 66,r | (-un+l (ru) '(512n+2 X Ln X} 5 2n Ln! 2 8' mo)5rr (+1)(n+) 5 nt) 3 alr (XnH) 5 divergcs 25 2T mO In Rool Test (n Yn

Vunug Tlt whether tl mrics Jun Ttt tako Muuin "ivetot MnIIstlic Vi-m Tn duiar$ Mntiu cotiverxeuct YOu Mulst stale wlnt "{nuge Me F4"F ` vulue Hth- litqsit 2G" Rctio Tcst () unci 66,r | (-un+l (ru) '(512n+2 X Ln X} 5 2n Ln! 2 8' mo)5rr (+1)(n+) 5 nt) 3 alr (XnH) 5 divergcs 25 2T mO In Rool Test (n Yn



Answers

Test for convergence or divergence, using each test at least once. Identify which test was used. (a) $n$ th-Term Test (b) Geometric Series Test (c) $p$ -Series Test (d) Telescoping Series Test (e) Integral Test (f) Direct Comparison Test (g) Limit Comparison Test $$\sum_{n=2}^{\infty} \frac{1}{n^{3}-8}$$

Yeah. In this question we will review about the geometric series. Yeah mm. Which of the farm submission of the I. Terms about N. And then if we have in his small uh absolute of the R. It will be smaller than one. And this one will be convergent if absolutely quinta equal to one. And then we should get the divergent in this question. Were given the series under form five attempts with the miners far over three. Well and and here we recognize that the five will be the A. And this one will be the R. So we have uh U -4/3. So if we turned the absolute on both sides, we should get equal to the for over three and four with three in the squinted and one. So by the geometric serious test, we can conclude that this is here it must be divergent. Yeah.

In this question we will record about the integral test. Mhm. Yeah. Which states that if the A. N. Will be in the punch still terms and then the I. M. Plus one would be smaller than uh I am which is the decreasing sequence. And doesn't realize that the submission of the A. N. Will behave the same as the integral of uh A. This and will become to the D. Acts now as an ego to cage infinity citizen video from K to infinity. And now in this question were given the submission of the end of uh and square. That's one hour two for angus from one to infinity. So we can identify the one will be the K. And this will be the A. N. So we see that all number term will be positive and uh next time will be smaller than the previous term. So therefore the behavior on this series here will be the same as integral from one to infinity. And then we have and returns to the X over the X square plus one square. And then the X. Now to do this integral will use the substitution where we bought this when will be the do X. So with the new echo to the X squared plus one, the U. Equal to the two X. X. So we noticed that the X. D. X. We exactly this one. So actually X. We go to the yuan with two. And as a result we can write this down to the integral of the Eu all the tools. And we will have the new square. And also we need to replace the limit as well. So when uh you go to one and then you will you go to two when x go to infinity. So you you go to infinity as well. So we have a duty to infinity. Now this integral can be turning to the farm on the exponential form. So one half we can bring in front you buy managed to did you? And therefore we have By power. Oh we should get the new power -1, defending by -1. And he evaluated from two to infinity. So we can write this down to the -1 hour to you evaluated from two to infinity. So and the infinity recommended zero. And the situation get the plus one other far smaller than infinity. So it means that the integral will be convergent. So is the series. So therefore we have the series on the form And other and squared plus one square is convergent. Okay.

In discussion, we were calling upon the direct comparison test and it states that if the AM only smaller coaching the P. N. And the series of the P. N. Is convergent. The chief conditions here implies that the submission of the A. N. Is also unfortunate. Now we have given uh some mention of the one of a fiber and plus one so we can recognize this one will be the AM. So we need to choose the PM to choose to be an and we choose only the maximum power here. We've been exponential. So we'll be one of the five about and and notice that they would write in the submission will be N. Will be one of the five power. And we can run the standing to in the geometric series form with There are 21/5 head. There's gonna be a chill matics. So therefore with our equity one of the five smaller than one we can conclude and the someone should be and in his convergent. And now with the first condition and we also need to compare the A. N. N. P. N. So we have one of the fiber and plus one compared with the PM will be one of the fiber. And we see that the left hand side only smaller than the right hand side. So we have found the first condition. The second condition and apply the direct comparison test. We can conclude that the series of the N. It will be convergent. It's

In this question we will review about the end terms the test so and um danced. What state is that if we have the limited am as anger to infinity ICO to not coaches zero. There's an implied standards. So much on the A. N. It will be divergent. Now in this question were given, there's some mention on the tube and if I'd invite the tree and -2 -2 and then we can think of this will be the N. Mhm. So we need to compute the limit of the I N. S angered infinity. So if you're going to limit on the two and even symmetry and wants to as anger to infinity that you do this limit, I will divide everything by an And if we do so we should get go general limit on the top but you get the jew in the bottom we should get the 3 -2 of the end. And as anger to infinity this term goes to the zero. So we have left with only the two of the three and two of the two is not equal to zero. So when uh and the best we can conclude that this is here it will be diverge meat


Similar Solved Questions

5 answers
What the sign of 45 tne system tor each zerothe following changes? Selectpositive for negative;essentiallyMetnane vapor condenses ZNzO(g} 302(g) 4NOz(9) glass of water evaporates_ cucumzer pickled brine solution tnrough osmosis Gasoline (CgH18 burned in an engine Submit Answer Tries 0/3
What the sign of 45 tne system tor each zero the following changes? Select positive for negative; essentially Metnane vapor condenses ZNzO(g} 302(g) 4NOz(9) glass of water evaporates_ cucumzer pickled brine solution tnrough osmosis Gasoline (CgH18 burned in an engine Submit Answer Tries 0/3...
5 answers
Determine whether the statement is true or false 7xs sinfx) f( - dx - (1 +x)2 TrueFalseSubmit Answer9. [-/0.5 Points]DETAILSDetermine whether the statement true or falseAll continuous functions have derivatives_TrueFalse[-/0.5 Points]DETAILSDetermine whether the statement true or falsedx =dx =
Determine whether the statement is true or false 7xs sinfx) f( - dx - (1 +x)2 True False Submit Answer 9. [-/0.5 Points] DETAILS Determine whether the statement true or false All continuous functions have derivatives_ True False [-/0.5 Points] DETAILS Determine whether the statement true or false dx...
5 answers
Fiad #he Zrd Ung 44b moment Ok #he normal distributiun #t + t2t2 M() e
Fiad #he Zrd Ung 44b moment Ok #he normal distributiun #t + t2t2 M() e...
5 answers
Consider solid obtained that the region bounded by the lines x = 0,x = 6 _ y, and y = 3about the y-axis. Sketch the region and sketch a slice that is perpendicular to the y-axis. Find the area function of the slices Aly). Integrate A(y) to determine the volume of the solid.
Consider solid obtained that the region bounded by the lines x = 0,x = 6 _ y, and y = 3about the y-axis. Sketch the region and sketch a slice that is perpendicular to the y-axis. Find the area function of the slices Aly). Integrate A(y) to determine the volume of the solid....
5 answers
Enter your answer in the provided box:The heat of vaporization of liquid (AHyap) is the energy required to vaporize 1.00 of the liquid at its boiling point: In one experiment; 90.0 g of liquid nitrogen (boiling point ~1969C) is poured into Styrofoam cup containing 10* g of water at 62.49C. Calculate the molar heat of raporization of liquid nitrogen if the final temperature of the water is 41.0C.kJlmol
Enter your answer in the provided box: The heat of vaporization of liquid (AHyap) is the energy required to vaporize 1.00 of the liquid at its boiling point: In one experiment; 90.0 g of liquid nitrogen (boiling point ~1969C) is poured into Styrofoam cup containing 10* g of water at 62.49C. Calculat...
1 answers
By an amicable triple of numbers is meant three integers such that the sum of any two is equal to the sum of the divisors of the remaining integer, excluding the number $$ egin{aligned} & ext { itself. Verify that } 2^{5} cdot 3 cdot 13 cdot 293 cdot 337,2^{5} cdot 3 cdot 5 cdot 13 cdot 16561 ext { and } 2^{5} cdot 3 cdot 13 cdot 99371 ext { are an }\ & ext { amicable triple. } end{aligned} $$
By an amicable triple of numbers is meant three integers such that the sum of any two is equal to the sum of the divisors of the remaining integer, excluding the number $$ egin{aligned} & ext { itself. Verify that } 2^{5} cdot 3 cdot 13 cdot 293 cdot 337,2^{5} cdot 3 cdot 5 cdot 13 cdot 16561 ...
5 answers
Certain tire weighs 32.2 kg when mounted, how much will four such tires weigh? 129 kg130 kg128 kg128,8 kgSubmit Answer-n1 Points]DETAILSGive the number of significant digits in:a) 1,002Select--b) 0,3500Select---c) 15000 ~Select---d) 24900 ~Select---e) 2.0500 ~Select--
certain tire weighs 32.2 kg when mounted, how much will four such tires weigh? 129 kg 130 kg 128 kg 128,8 kg Submit Answer -n1 Points] DETAILS Give the number of significant digits in: a) 1,002 Select-- b) 0,3500 Select--- c) 15000 ~Select--- d) 24900 ~Select--- e) 2.0500 ~Select--...
5 answers
Tor X-linked recessive disease allele, It often passes from male to hls grandson through hls daughter 0 Tue False
tor X-linked recessive disease allele, It often passes from male to hls grandson through hls daughter 0 Tue False...
2 answers
The results of a quadratic model fit to time series data wasY = 75 -0.25t + 3.512_ where t = ] for 1995 .The forecasted value for 2002 isA. 282210.75229.522.95
The results of a quadratic model fit to time series data was Y = 75 -0.25t + 3.512_ where t = ] for 1995 . The forecasted value for 2002 is A. 28 22 10.75 229.5 22.95...
5 answers
Question 91 ptsA ventilation fan with moment of inertia of 0.040 kg m? has a net torque of 0.160 N-m applied to it What angular acceleration does it experience?0.0064 rad/s?0.25 rad/s?0.20 rad s?0.40 rad s?4.0 rad/s2
Question 9 1 pts A ventilation fan with moment of inertia of 0.040 kg m? has a net torque of 0.160 N-m applied to it What angular acceleration does it experience? 0.0064 rad/s? 0.25 rad/s? 0.20 rad s? 0.40 rad s? 4.0 rad/s2...
5 answers
Determine whether the planes $a_{1} x+b_{1} y+c_{1} z=d_{1}$ and $a_{2} x+b_{2} y+c_{2} z=d_{2}$ are parallel, perpendicular, or neither. The planes are parallel if there exists a nonzero constant $k$ such that $a_{1}=k a_{2}, b_{1}=k b_{2}$, and $c_{1}=k c_{2},$ and are perpendicular if $a_{1} a_{2}+b_{1} b_{2}+c_{1} c_{2}=0$.$$x+3 y+2 z=6,4 x-12 y+8 z=24$$
Determine whether the planes $a_{1} x+b_{1} y+c_{1} z=d_{1}$ and $a_{2} x+b_{2} y+c_{2} z=d_{2}$ are parallel, perpendicular, or neither. The planes are parallel if there exists a nonzero constant $k$ such that $a_{1}=k a_{2}, b_{1}=k b_{2}$, and $c_{1}=k c_{2},$ and are perpendicular if $a_{1} a_{2...
1 answers
Make a mapping diagram for each relation. $$ \{(0,0),(-1,-1),(-2,-8),(-3,-27)\} $$
Make a mapping diagram for each relation. $$ \{(0,0),(-1,-1),(-2,-8),(-3,-27)\} $$...
1 answers
Encoding a Message In Exercises $53-56$ , write a cryptogram for the message using the matrix $$A=\left[ \begin{array}{rrr}{1} & {2} & {2} \\ {3} & {7} & {9} \\ {-1} & {-4} & {-7}\end{array}\right]$$ . HAPPY BIRTHDAY
Encoding a Message In Exercises $53-56$ , write a cryptogram for the message using the matrix $$A=\left[ \begin{array}{rrr}{1} & {2} & {2} \\ {3} & {7} & {9} \\ {-1} & {-4} & {-7}\end{array}\right]$$ . HAPPY BIRTHDAY...
5 answers
1. Name the following aminesCHz CH,NHz CHz~CH Hjc CHz CHyCHi_ CH;NOz
1. Name the following amines CHz CH, NHz CHz~CH Hjc CHz CHy CHi_ CH; NOz...
5 answers
A child sitting 1.20 m from the center of amerry-go-round moves with a speed of 1.55 m/s .- Calculate the centripetal acceleration of thechild.Express your answer using three significant figures.- Calculate the net horizontal force exerted on thechild. (massmassm = 31.5 kgkg )Express your answer using three significant figures.
A child sitting 1.20 m from the center of a merry-go-round moves with a speed of 1.55 m/s . - Calculate the centripetal acceleration of the child. Express your answer using three significant figures. - Calculate the net horizontal force exerted on the child. (massmassm = 31.5 kgkg ) Express your ans...
5 answers
The area of the rcgion below the parabola y = 9 ~ x? and above the x-axis is12b. 2436d 4860
The area of the rcgion below the parabola y = 9 ~ x? and above the x-axis is 12 b. 24 36 d 48 60...
5 answers
Find the three components of the force at A acting on the pole_ Point B is in the xz plane_Answer(s):10001b30850=
Find the three components of the force at A acting on the pole_ Point B is in the xz plane_ Answer(s): 10001b 308 50=...

-- 0.019171--