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son4ous [18]
2 years ago
12

Find the slope of the line that passes through each pair of points.

Mathematics
1 answer:
kotegsom [21]2 years ago
6 0
6. m=2
7. m=3
8. m=0
Hope it help
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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
Simplify (1 − cos x)(1 + cos x).<br><br> 1<br> cos2 x<br> sin2 x<br> tan2 x
Phoenix [80]
Answer

The expression is equivalent to sin^{2}x

The first step is to multiply the two expressions between parentheses :
(II)
There is a trigonometric identity that states :

Working with this expression :
⇒
(I)
Using the equation (I) in (II) :
⇒


Read more on Brainly.com - brainly.com/question/3907632#readmore
3 0
3 years ago
Could mud wrestling be the cause of a rash contracted by Washington State University students in the spring of 1992? Physicians
Daniel [21]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
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The best and most correct answer among the choices provided by the question is </span><span>A. Between 0.05 and 0.01 </span> .    
      <span>
Hope my answer would be a great help for you.  </span>
7 0
3 years ago
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Which is the equation of a line that has a slope ot 1/2 and passes through the point 2, -3​
mamaluj [8]

Answer:

y=1/2x-4

Step-by-step explanation:

You are given the slope, 1/2. So you can plug it into the equation (y=mx+b)

You also need to plug in the x and y coordinate your given so you'll have

-3=1/2(2)+b. Then you solve for b, which is -4. You now have your answer, y=1/2x-4.

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Answer:

19975

Step-by-step explanation:

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