Find the equation of the normal to the curve x^2+y^2+xy=0 at the point (2,2).

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Ответ:

hmu323

30.12.2021

Mathematics

5y -x=8

Step-by-step explanation:

We have given x^2+y^2+xy=0

Differentiating this function with respect to x

$2x+2y+x\frac{dy}{dx}+y=0$

At point (2,2)

$2\times 2+2\times 2+2\times \frac{dy}{dx}+2=0$

$\frac{dy}{dx}= -5$

that is m= -5

The equation of normal is $]\frac{y-y_1}{x-x_1}=\frac{-1}{m}[/tex[tex]\frac{y-2}{x-2}=\frac{-1}{-5}$

5y-x=8 this is the equation of normal

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Ответ:

elenaabad18

19.06.2022

Mathematics

The answer to your question is b

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