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Dafna11 [192]
3 years ago
7

Can someone please help me answer theses questions Thank u so much

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0
A polynomial with 3 terms:
x^2 +3xyz -4

It meets the definition of a polynomial because it is a sum of products or constants, and all variables have non-negative integer powers.
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4 years ago
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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
mihalych1998 [28]

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)

4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0

(4x+y)+(x+2y)\frac{dy}{dx}=0

\frac{dy}{dx}=-\frac{4x+y}{x+2y}

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

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

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

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3 years ago
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