anonymous
  • anonymous
The differential equation dy dx equals the quotient of the quantity y minus 2 and y plus 1 produces a slope field with horizontal tangents at y = 2 produces a slope field with vertical tangents at y = −1 produces a slope field with columns of parallel segments
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
https://gyazo.com/40b80568af9602738d4d7c64db1bb2e1
anonymous
  • anonymous
@zepdrix
anonymous
  • anonymous
I was thinking C since the denominator would be bigger.

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zepdrix
  • zepdrix
\[\large\rm y'(y)=\frac{y-2}{y+1}\]At y=2,\[\large\rm y'(2)=\frac{2-2}{2+1}\]Hmm, so what is this telling us?\[\large\rm y=2, \qquad\qquad y'=0\]
zepdrix
  • zepdrix
Oh I didn't look at the options yet hehe
anonymous
  • anonymous
Horizontal line
zepdrix
  • zepdrix
So first line is definitely true, cool.
anonymous
  • anonymous
10/10 IGN
zepdrix
  • zepdrix
Looks like the second one is true also, ya? Bottom blows up, corresponding to "infinite" slope, asymptotic behavior.
zepdrix
  • zepdrix
I didn't even look at the third option yet :P Just seems like we land on C by checking the first two automatically lol
zepdrix
  • zepdrix
Clearly III can't be true if I and II are true, right? If we have vertical tangents, and we also have horizontal tangents in other places, then we don't have parallel tangent lines.
anonymous
  • anonymous
I was thinking about it in a completely different way.
anonymous
  • anonymous
Then I noticed it was asking about the slope fields.
anonymous
  • anonymous
In all three where as I misread I and II and eliminated them using some thought (yes I thought wrong ;p) thanks

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