2 years ago

Help ASAP with an explanation

Mathematics

2 answers:

butalik [34]2 years ago

8 0

It’s B

(I don’t really understand it but I JUST HAD THAT QUESTION on my hw)

Vikki [24]2 years ago

3 0

Answer:

I belive its B

Step-by-step explanation:

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Whats the intrgral of <img src="https://tex.z-dn.net/?f=%20%5Cint%20%20%5Cfrac%7Bx%5E2%2Bx-3%7D%7B%28x%5E3%2Bx%5E2-4x-4%29%5E2%7

rosijanka [135]

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$

Notice that $x^3+x^2-4x-4=x^2(x+1)-4(x+1)=(x-2)(x+2)(x+1)$ . Decompose the integrand into partial fractions:

$\dfrac{x^2+x-3}{(x-2)^2(x+2)^2(x+1)^2}$
$=\dfrac1{3(x+1)}-\dfrac{11}{32(x+2)}-\dfrac1{3(x+1)^2}-\dfrac1{16(x+2)^2}+\dfrac1{96(x-2)}+\dfrac1{48(x-2)^2}$

Integrating term-by-term, you get

$\displaystyle\int\frac{x^2+x-3}{(x^3+x^2-4x-4)^2}\,\mathrm dx$
$=-\dfrac1{48(x-2)}+\dfrac1{3(x+1)}+\dfrac1{16(x+2)}+\dfrac1{96}\ln|x-2|+\dfrac13\ln|x+1|-\dfrac{11}{32}\ln|x+2|+C$

5 0

3 years ago

EASY BRAINLIEST PLEASE HELP!!

DedPeter [7]

Answer:

C. AB = 5.8 cm

Step-by-step explanation:

In trapezoid ABCD, EF is the Midsegment.

.:. EF = {(AB+CD)

.:: 9.2 = {(AB + 12.6)

:: 9.2 x 2 = AB + 12.6

.. 18.4 = AB + 12.6

.. 18.4-12.6 = AB

:: AB = 5.8 cm

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2 years ago

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Can someone answer all those questions for me? Thank you so so much! :)))

xxTIMURxx [149]

Do your hw pls no cheat

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3 years ago

Ellie is having a Birthday party and has invited 11 friends. She wants to order pizza for the party. Each pizza is cut into eigh

erik [133]

Answer:

Ellie will need to have 13 slices.

Step-by-step explanation:

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2 years ago

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A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

777dan777 [17]

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

7 0

2 years ago