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
____ [38]
4 years ago
11

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

Mathematics
1 answer:
dem82 [27]4 years ago
3 0

Answer:

Converges at -2

Step-by-step explanation:

We solve this by using integral by parts.

\int\limits^a_b {(2x-1)/x^2 - x} \, dx

let:

u=2x-1             dv=(1/x^2)dx

du=2xdx         v=-(1/x)

We use the following expression for integral by parts:

\int\limits {u} \, dv=uv-\int\limits{v} \, du

\int\limits^a_b {(2x-1)/x^2} \, dx = -2-1/x+\int\limits {2} \, dx

We can take the limit with x tending to -1

\lim_{x \to \(-1} -2-1/x+x = -2+1-1=-2

The integral converges at -2

You might be interested in
Tell which value of the variable is the solution of the equation. 6c=96; c=14,15,16,17
otez555 [7]

Answer:

c = 16

Explanation:

Do it on a calculator it'll be correct

7 0
3 years ago
(Directions at the top of the picture)
enyata [817]
To factor polynomials, find a common number to remove and leave the rest in parentheses.  I did the odds, now you try the evens.  If you still need help,, let me know.

1.  3 (x+4)
3. 5 (x+6y)
5. 3(2 a^2 + 9)
7. 3d (7c -1)
9. 15a (ab - 2b)
3 0
3 years ago
The area of a rhombus is 90 square inches. If the longer diagonal measures 18 inches, what is the length of the shorter diagonal
lorasvet [3.4K]
10 Inches

A = p q / 2

p = diagonal 1
q = diagonal 2

2A / q = p

Solve for p
180/18 = 10
5 0
4 years ago
Which of the following sets could be the sides of a right triangle?
Simora [160]

Answer:

Where is the question??

3 0
3 years ago
Read 2 more answers
What are independent and dependent variables?
Nonamiya [84]
I'm pretty sure this doesn't belong in mathematics but this belongs to science. Anyways.. an independent variable is the only variable that is being changed. The dependent variable is what you find out- in other words it is the outcome.

8 0
3 years ago
Other questions:
  • What is 0.306 in word form?
    8·2 answers
  • Mrs. Hawk assigns her students an average of no more than 5 questions on each assignment. On their first 5 assignments Mrs. Hawk
    6·1 answer
  • write the equation in slope-intercept form with y intercept of −3 and an x intercept of −4.5. Plz tell me how you got it so i no
    13·1 answer
  • Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
    10·1 answer
  • Some one can help me and find to me the answer
    6·1 answer
  • Jessica has 4/8 of a bottle of Robitussin syrup on hand. The pharmacist instructs Jessica to reduce the syrup by 1/2 so he can p
    6·1 answer
  • On a cold winter morning, the temperature was -4 degrees C. By noon, the temperature was 0 degrees. Did the temperature increase
    6·1 answer
  • Ratio of 14 inches to 3 feet
    8·1 answer
  • A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of c
    15·1 answer
  • Math question help pls
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!