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Alona [7]
3 years ago
5

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

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

It diverges.

Step-by-step explanation:

We are given the integral: \int\limits^{-1}_{-\infty} \ln |x| dx

\int\limits^{-1}_{-\infty} \ln |x| dx=\int\limits^{-1}_{-\infty} \ln (-x) dx=\\\\= \lim_{t \to \infty} \int\limits^{-1}_{-t} \ln (-x) dx= \lim_{t \to \infty}( x(\ln \left(-x\right)-1))|^{-1}_{-t}=1-\infty=-\infty

So it is divergent.

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Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which
Harlamova29_29 [7]

Answer:

Part A

Which is the ordered pair for Point B?

A. (2, 8)

 B. (6, 8)

 C. (6, 6)

 D. (8, 6)

Part B

Which point is at (8, 2)?

A. A

 B. B

 C. C

 D. None of these

Part C

What are the coordinates of point A?

Enter your answer in the boxes.

(

2

,

8

)

Part D

What are the coordinates of the fourth vertex of the rectangle?

Enter your answer in the boxes.

(

0

,

0

)Step-by-step explanation:

7 0
2 years ago
Suppose you earn $12 each time you mow the lawn. Which function describes the relationship between your total earnings E and the
Orlov [11]

Answer:

E(m) = 12m

Step-by-step explanation:

Your earnings will be the amount of times you mow the lawn * $12 per job

so if m is the amount of times and 12 is the amount your Earnings(E) = 12m

8 0
3 years ago
If f(x) = (5x^3 - 4)^4, then what is f '(x)?
vlabodo [156]
You apply the rule to put the exponent in front, and lower it by one. But since this is a nested expression, you apply it twice:

4*(5x^3-4)^3 * 3*5x^2 =

60x^2 (5x^3-4)^3
4 0
3 years ago
Draw and label a rectangular prism that has a surface area of 96 square meters.
Mashcka [7]
Basically what you need to do is draw 4 congruent rectangles and 2 comgriemt squares (The six sides of a rectangular prism). The sum of the area of these six quadrilaterals should equal 96. This would be my thought process.

Step 1: Sketch a Rectangular Prism

Step 2: Make some educated guesses on some possible side measurements for the quadrilaterals that form the prism.

Step 3: Guess and Check until the amount equals 96.

So we can guess that the sides of the rectangle might equal 2 and 3 units.

This would be 6 for the area. Times 4 for each of the 4 Rectangles. (24) and add the area of the ends of the prism (2*2*2) which is 8 and you will get 32.

Since we are looking for a surface area of 96 and not 32, we can assume that a 3*2*2 prism is not what we need. So we can try again with other values.

Let's try 6*3*3. 6*3*4 for the four rectangles plus 3*3*2 for the ends.
3 0
3 years ago
HOW do I solve these questions?
weeeeeb [17]

Okkk

Step-by-step explanation:

1. 5(1+9v)=5+5x9v=5+(5x9v)=5+45v

2.(20:4/12:4)=4(5b+3)

4 0
3 years ago
Read 2 more answers
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