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Neporo4naja [7]
3 years ago
8

Integral of (3x-2)/(x-1)^2

Mathematics
1 answer:
Goryan [66]3 years ago
7 0
<span><span><span>(3x−2)/</span><span>(x−1<span>)^2</span></span></span>=<span>A/(<span>x−1) </span></span>+ <span><span>B/x</span><span>(x−1<span>)^2
</span></span></span>                       =[<span><span>A(x−1)+Bx</span><span>(x−1<span>)] / 2</span></span></span></span> 3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1

lets check our partial fraction we have <span><span><span>2/(<span>x−1) </span></span>+ <span>x/<span>(x−1<span>)^2 </span></span></span>= [<span><span>2(x−1)+x] / </span><span>(x−1<span>)^2
</span></span></span>                               =(<span><span>3x−2) / </span><span>(x−1<span>)^2</span></span></span></span></span>
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Kryger [21]

Answer:

x = -8

Step-by-step explanation:

To find x, we need to isolate it. So first, let's subtract 2.6 from both sides to get rid of it on the side with x:

3.2x+2.6-2.6=-23-2.6

3.2x+0=-25.6

3.2x=-25.6

Now, divide both sides by 3.2 (because notice how we are multiplying it right now - so we need to undo that, and so we do the inverse operation of division):

\frac{3.2x}{3.2} = \frac{-25.6}{3.2}

Notice how we are left with 1x on the left which is x, so we have successfully isolated x:

x = -\frac{25.6}{3.2} = -8

So, x = -8. Hope it makes sense, ask me any questions you may have! :)

8 0
3 years ago
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Please help as soon as possible!
AnnZ [28]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m = \frac{4-6}{8-3} = - \frac{2}{5}, hence

y = - \frac{2}{5} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 4), then

4 = - \frac{16}{5} + c ⇒ c = 4 + \frac{16}{5} = \frac{36}{5}

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REY [17]

Answer:

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Step-by-step explanation:

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3 years ago
Ishaan is 2 times as old as Christopher. 35 years ago, ishaan was 7 times as old as Christopher
Natalija [7]

Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.

Step-by-step explanation: Solution:

Let present age of:

Christopher =  

x

yrs

Ishaan =  

2

x

yrs ( given that Ishaan is 2 times as old as Christopher)

35 yrs ago:

Age of Christopher = (

x

- 35)yrs

Age of Ishaan = (

2

x

- 35) yrs

According to question, 35 yrs back, Ishaan was 7 times older than Christopher.

Therefore

7 X (

x

- 35) = (

2

x

- 35)

7

x

- 245 =  

2

x

- 35

7

x

-  

2

x

= 245 - 35

5

x

= 210

x

= 42

So present age of Christopher =  

x

= 42 yrs

&

Present age of Ishaan =  

2

x

= 84 yrs

Check your solution:

As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.

35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.

6 0
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