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lianna [129]
3 years ago
6

Sketch the region R defined by 1≤ x≤ 2 and 0≤ y≤ 1/x^3

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
On the attachment, there is the graph for the region "R" and the calculations for the value a and b. 

the theory is that you have to choose a value that is between the range and assume that this value will divide the area into two equal parts. This is done for x = a

For
"y" you have to change the integral from dx to dy and you have to divide the region into 2 parts, given that the area cannot be calculated by 1 integral equation, so you proceed to calculate the rectangular area and take this area into consideration, for the same procedure as before. 

Then you calculate again the value y = b and that's it.

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Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
Reika [66]
N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19    |subtract n² from both sides

n = 4n - 15    |subtract 4n from both sides

-3n = -15    |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.
6 0
3 years ago
(x2-13x-48)÷(x+3) dividing polybomials
-BARSIC- [3]
The final awser is x-16
hope this is what u needed
5 0
3 years ago
Herber read a total of 36pages in 2 hours. Later on, he read 90 pages in 5 hours. How many pages did Herber read each hour.
Lady_Fox [76]

Answer:

18 pages per hour.

If you do 36 (the pages/amount) divided by 2 (The time), you get 18.

To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

Therefore the answer is 18 pages per hour.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

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( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

6 0
3 years ago
Help plz will give brainliest if you explain how u got the answer! PLZ!
sasho [114]

Answer:

2x-y=4

Step-by-step explanation:

y=mx+b

b is the y-intercept which is -4

y=mx-4

find m(slope)

(2,0) and (0,-4)

(-4-0)/(0-2)

-4/-2=2   m=2

y=2x-4

add 4 to both sides

y+4=2x subtract y

4=2x-y

It says write in standard form which looks like this: 3x + 5y = 4

4 0
3 years ago
What is the solution to x + 7 = 27
lyudmila [28]

Answer:

The answer is x=20

Step-by-step explanation:

27-7=20

x=20

3 0
3 years ago
Read 2 more answers
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