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leonid [27]
3 years ago
14

Please help! Use the integral test to determine if the series is convergent or divergent.

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

Convergent

Step-by-step explanation:

∑₂°° 1 / (k (ln k)³)

Applying integral test:

∫₂°° 1 / (x (ln x)³) dx

If u = ln x, then du = 1/x dx.

∫ (1 / u³) du

-1 / (2u²) + C

Substitute back:

-1 / (2 (ln x)²) + C

Evaluate between the limits:

-1 / (2 (ln ∞)²) − -1 / (2 (ln 2)²)

1 / (2 (ln 2)²)

The integral converges, therefore the series must also converge.

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Angle = (2x + 10)° and angle = (4y – 30)°. Find x and y.
ASHA 777 [7]

Answer:

11.33 degrees

Step-by-step explanation:

5 0
3 years ago
Which of the following functions best describes this graph
Musya8 [376]

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D

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when x=2,6 then y=0

when y=12 then x=0

only applies for D

3 0
3 years ago
Louis little brother is sick with a fever his temperature is 104​
valentina_108 [34]

Answer:

40

Step-by-step explanation:

C=(5/9)(104-32)

C=(5/9)(72)

C=40

4 0
3 years ago
Read 2 more answers
Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the trian
Pachacha [2.7K]

Answer:

m=1/300 du

Step-by-step explanation:

we have that m=∫∫rho(x,y)dA for this we must find the limits of integration (according to the graph1)

On the x axis: if y=2x and x+2y=1 then y=2x and y=(1-x)/2 ⇒ 2x=(1-x)/2 ⇒ 4x=1-x ⇒ 5x=1 ⇒ x=1/5; on the y axis y=0 and y=1/2

m=∫∫rho(x,y)dA (view the graph 2)

4 0
4 years ago
ppositional angle closure in eyes with narrow angles: comparison between the fellow eyes of acute angle-closure glaucoma and nor
skad [1K]

Here is the comparision

Purpose:To compare the topologic features of acute primary angle-closure glaucoma eyes before an attack to those of normotensive eyes, assuming that untreated fellow acute primary angle-closure glaucoma eyes are candidates for an acute attack.

Methods:Under dark-room conditions, ultrasound biomicroscopy was used to examine 50 eyes (12 fellow eyes of acute primary angle-closure glaucoma and 38 normotensive cases with a closure-possible narrow angle). Before any surgical or laser intervention, all eyes were examined and found to have normal pupillary response without the use of any topical drugs. Each eye was examined at four predetermined angle locations. The chamber angle configuration parameters were measured and compared between the two groups.

Result:Appositional angle closures were detected in 27 fellow eyes and 48 normotensive eyes with a closure-possible narrow angle. The incidence differed statistically between the two groups (69.2% in fellow eyes and 48% in normotensive eyes). In the fellow eye group, appositional angle closures beginning at the angle's entrance were more frequently detected. The distance between the iris root and the bottom of the angle varied significantly between groups.

Conclusion:Acute primary angle-closure glaucoma fellow eyes have different topologic features than normotensive narrow-angled eyes, as well as a higher incidence of appositional closure, which may predispose these eyes to an impending acute attack.

Learn more about glaucoma here:

brainly.com/question/1318395

#SPJ4

8 0
2 years ago
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