1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina1246 [14]
3 years ago
11

How do you do this question?

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

∫ₑ°° 1 / (x (ln x)¹⁰) dx

∫₁°° x⁻³ dx

Step-by-step explanation:

A p-series 1 / xᵖ converges if p > 1.

∫ₑ°° 1 / (x (ln x)¹⁰) dx

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

When x = e, u = 1.  When x = ∞, u = ∞.

= ∫₁°° 1 / (u¹⁰) du

p = 10, converges

∫₁₀°° x^(-⅔) dx

= ∫₁₀°° 1 / (x^⅔) dx

p = ⅔, diverges

∫₁°° 2 / x^0.5 dx

= 2 ∫₁°° 1 / x^0.5 dx

p = 0.5, diverges

∫₁°° x⁻³ dx

= ∫₁°° 1 / x³ dx

p = 3, converges

∫₂°° 1/(3x) dx

= ⅓ ∫₂°° 1/x dx

p = 1, diverges

You might be interested in
In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If t
trasher [3.6K]

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

5 0
4 years ago
Amy and Roger both wash windows at a large downtown building. Amy can wash 25 windows in 4 hours. Roger can wash 32 windows in 6
nirvana33 [79]

Answer:

139

Step-by-step explanation:

Brainliest?

8 0
3 years ago
Read 2 more answers
Which of the following equations is perpendicular to the line y = 2x + 8?
EastWind [94]

ya I want to go get back to the school and I will get back to school today I don’t have

3 0
3 years ago
NEED HELP ASAP GIVING BRANILEST
finlep [7]

Answer:

50?

Step-by-step explanation:

I said 50 because there were 60 na butterflies so there was probably 50.

I am sorry if this wrong tho

7 0
3 years ago
Read 2 more answers
Help pls i think it could be either boy aghhhhhhhhhhhhhhh
sveta [45]
It’s A which is Adam
8 0
3 years ago
Read 2 more answers
Other questions:
  • A pair of jeans that normally cost $20 is 30% off. What is the price of the jeans
    15·2 answers
  • 949 nearest 10 and 100
    12·2 answers
  • I need help on this worksheet for my math hw it’s combing like terms?
    6·1 answer
  • Which table represents a linear function ?
    14·1 answer
  • 55745 rounded to the nearest thousand
    11·2 answers
  • Hi I need help answer is 2/4 or 4/2 ???
    13·1 answer
  • There are 38 chocolates in a box, all identically shaped. there are 15 filled with nuts, 10 with caramel, and 13 are solid choco
    13·2 answers
  • Mason calculated sales tax on his clothing purchase 5.57375 round to the nearest hundredth
    7·1 answer
  • You roll a number cube twice. Find the probability of the events. Rolling an even number of 5.
    14·1 answer
  • A circle has a radius of 17cm. Find the radian measure of the central angle θ that intercepts an arc of length 5cm.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!