1. The graph of the tilted ellipse x2 - xy + y? = 3 is shown below. Note: The sides of the box are vertical and horizontal and also are tangent to the ellipse. dy for the tilted ellipse. dx (a) Find (b) Find the points on the ellipse where the tangent line is horizontal. (c).Find the points on the ellipse where the tangent line is vertical. (d) What are the dimensions of the box containing the ellipse? (e) What are the coordinates of the four corners of the box containing the ellipse?

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