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Alex17521 [72]
3 years ago
8

I need help with this

Mathematics
1 answer:
muminat3 years ago
7 0

Answer:

abcs

Step-by-step explanation:

abcdefghijklmnopqrstuvwxy and z

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The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf
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Answer:

The slope of tangent at point (1,-2) is \frac{2}{3}.

Step-by-step explanation:

The given equation of ellipse is

2x^2+xy+y^2=4

Differentiate both sides with respect to x.

\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)

\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)

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Calculate the value of \frac{dy}{dx} at (1,-2).

\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}

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\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}

Therefore the slope of tangent at point (1,-2) is \frac{2}{3}.

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3 years ago
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