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
larisa [96]
3 years ago
8

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral:  \int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx

\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty

So it is divergent.

You might be interested in
Solve the inequality. Graph the solution
Evgen [1.6K]

Answer:

<em>t ≥ -12 </em>

Step-by-step explanation:

4 ≥ -t/3 Original Equation

4 <em>(3</em>) ≥ -t/3 <em>(3) </em>Cancel out the division

12 ≥ -t

12 <em>(-1)</em> ≥ -t<em> (-1) </em>Canceling Negative on the variable, Flipping over Inequality Sign

<em>t ≥ -12 </em>

3 0
2 years ago
Read 2 more answers
Help!!! I don’t know what to do
Eduardwww [97]

Answer: the answer is axis of 3

Step-by-step explanation:

3 0
2 years ago
the slope of a line is 3/2 and the line contains the points (5,9) and (3, a). what is the value of a?
vivado [14]
Y = mx + b
slope(m) = 3/2
(5,9)...x = 5 and y = 9
now we sub and find b, the y int
9 = 3/2(5) + b
9 = 15/2 + b
9 - 15/2 = b
18/2 - 15/2 = b
3/2 = b
so ur equation is : y = 3/2x + 3/2.........(3,a)....so x = 3

y = 3/2(3) + 3/2
y = 9/2 + 3/2
y = 12/2
y = 6

so ur missing value is 6...a (or y)  = 6
7 0
3 years ago
Please help pls and ty​
natali 33 [55]
No because the exact opposite of -3 would be 3.
7 0
3 years ago
Anyone know how to do this
Oxana [17]

Answer:

9 sqrt(2) /2 = PQ

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = PQ = 9

9 sin 45 = PQ

9 sqrt(2) /2 = PQ

4 0
3 years ago
Read 2 more answers
Other questions:
  • Ryan bought 12/16 pounds of peanuts. What is the simplest form of 12/16
    13·1 answer
  • What is the relationship between the ratios? 10/24 and 5/12 Drag and drop to complete the statement. The ratios are proportional
    8·1 answer
  • Which linear equation is represented by the table?
    13·1 answer
  • Solve the equation. 19 + n = 30 19+n=3019, plus, n, equals, 30 n = n=
    8·1 answer
  • The average number if students in three classrooms was 24 altogether how many students were in three classrooms? I need the work
    15·1 answer
  • 800,000+6,000+300+2 word form
    8·2 answers
  • Lindsay has 3 3/4 gallons of paint plans on using 1 1/4 gallons in each row how many rooms should be able to paint
    8·1 answer
  • Find the reference angle for 12pi/5
    9·1 answer
  • you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original pric
    10·1 answer
  • When your daughter was born, you decided that you would start saving money for her college education, and you felt that you woul
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!