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The graph of the tilted ellipse is x^2 - xy + y^2 - x - y...

The graph of the tilted ellipse is x^2 - xy + y^2 - x - y = 2

a) Find the points on the ellipse where the tangent line is horizontal

b) Find the points on the ellipse where the tangent line is vertical

c) What are the dimensions of the box containing the ellipse?

d) What are the coordinates of the four corners of the box containing the ellipse?

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