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Mathematics

1 answer:

ollegr [7]2 years ago

3 0

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

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

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

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3 years ago

A rectangular garden that is 167 feet wide and 11 feet long will be covered with

steposvetlana [31]

Answer:

the answer is 92 bags.

167x11=1837

1837÷20=91.85....or 92 bags

6 0

2 years ago

Elena has $225 in her bank account. She takes out $20 each week for weeks. After weeks she has d dollars left in her bank accoun

leonid [27]

Answer:

the equation to use would be D (255-20(5) = ?). To solve, first multiply 20 and 5 and you would get 100 so the equation would be 255 - 100 = ? Then you would subtract 100 from the 255 to get $155 left. To solve for 7 weeks you would replace the 5 in the equation with 7 so your equation would be 255 - 20(7) = ? Next you would multiply 20 and 7 to get 140. the equation would then be 255 - 140 = ? Subtract 140 from 255 and you would get 115. So after 7 weeks she would have $115 left in her account.

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2 years ago

In a football game, Jameel returned a kickoff in 10 seconds. He caught the ball on the 10 yard line and ran it all the way to th

Ivahew [28]

Answer:

Step-by-step explanation:

So the distance that he ran is 30 yards since he ran from the 10 to 40 yard line. making it 30 yards. It is then said he ran this in 10 seconds

Now all you have to do is divide 30yards by 10seconds to see how many yards he ran in a sec. Dividing it you get 3 yards per second

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10 months ago

Solve each equation:

timurjin [86]

1.) x=-9 because
2.) x=16

3 0

2 years ago

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