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aliya0001 [1]
3 years ago
14

What is the equation of the graphed line?

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
<u />&#10;Look\ at\ the\ picture.\\\\m=\frac{-5}{+1}=-5\\\\\boxed{y=-5x}

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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
Solve please i need this fast
Rufina [12.5K]

Answer:

Step-by-step explanation:

b)

5 0
3 years ago
Plss help
KonstantinChe [14]

\frac{1}{2} \times 5 \times 16 \\ 40 \\ ke = 40joules

if correct mark me as brainiest

4 0
3 years ago
Read 2 more answers
B<br> 6x+7<br> 3x+c<br> 2x-1<br><br> What is the value of c in degrees
andreev551 [17]

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

  <A=2*15-1

  <A=30-1

  <A=29

   

3 0
3 years ago
The graphs of the equations y = x − 1 and y = (x − 1)4 are shown in the standard (x,y) coordinate plane below. what real values
slavikrds [6]
A. No real values 
<span>B. x <0 and x >1 </span>
<span>C. x <1 and x >2 </span>
<span>D. 0 <x <1 </span>
<span>E. 1 <x <2</span>
6 0
3 years ago
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