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Sliva [168]
3 years ago
9

Wholelotta swag aneways

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

period.

Step-by-step explanation:

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How to integrate 1/(1-y)^2
Akimi4 [234]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/866966

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy}\\\\\\ =\mathsf{\displaystyle\int\!\dfrac{-1}{(1-y)^2}\cdot (-1)\,dy}\\\\\\ =\mathsf{\displaystyle- \int\!(1-y)^{-2}\cdot (-1)\,dy\qquad\quad(i)}


Substitution:

\begin{array}{lcl} \mathsf{1-y=u}&\quad\Rightarrow\quad&\mathsf{y=1-u}\\\\ &&\mathsf{dy=-1\,du} \end{array}


So the integral \mathsf{(i)} becomes

=\mathsf{\displaystyle -\int\! u^{-2}\,du}\\\\\\ =\mathsf{-\,\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\ =\mathsf{-\,\dfrac{u^{-1}}{-1}+C}\\\\\\ =\mathsf{u^{-1}+C}\\\\\\ =\mathsf{\dfrac{1}{u}+C}

=\mathsf{\dfrac{1}{1-y}+C}\\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy=\dfrac{1}{1-y}+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral fraction rational substitution power differential calculus</em>

3 0
3 years ago
What is the value of g if g = 8.8? 72g = ?
Sidana [21]
If g = 8,8 so than 72g = 72*8,8 = 633,6

hope i understand it right 

bc. << what is the value of g if g = 8,8 ? >> so this is something missed bc. i think when the value of g is given so than not can being asked what is the value of g ???? 
4 0
3 years ago
Students on the CARE Team are selling puppies, yes, puppies! They earn $0.40 on each puppy they sell. Their goal is to earn more
cricket20 [7]
0.4 x >= 327 Divide by 0.4
x >= 327/0.4 which is not going to be an even number.
x >= 817. 5 puppies. So they need to sell 0.5 more puppies. Better round this quickly before someone decides to do something stupid to get the extra 1/2 puppy. For us it's simple. Just add a 1/2 puppy more.

x >= 818 puppies <<<<==== answer.
3 0
3 years ago
When a national sample of heights of kindergarten children was? taken, a student was told that he was in the 20th percentile.
Nutka1998 [239]

Answer:

this question doesnt make sense as its like half of it

6 0
3 years ago
Choose the missing step in the given solution to the inequality −x − 10 &gt; 14 + 2x. −x − 10 &gt; 14 + 2x −3x − 10 &gt; 14 ____
Svet_ta [14]

Answer: -3x> 24

Step-by-step explanation:

Given the inequality -x - 10 > 14 + 2x, we need to solve for "x".

We can subtract -2x to both sides:

-2x-x - 10 > 14 + 2x-2x

-3x- 10 > 14 (This step is shown in the exercise)

Now, we can add 10 to both sides:

-3x- 10 +10> 14+10

-3x> 24 (This step is not shown in the exercise)

And finally, divide both sides by -3:

\frac{-3x}{-3}>\frac{24}{-3}

x< -8 (This is shown in the exercise)

Therefore, the missing step is:

-3x> 24

3 0
3 years ago
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