The graph of the equation x^2+xy+y^2=8 is an ellipse lyingobliquely in the plane.
a) Compute dy/dx
b) The ellipse has two horizontal tangents. Find an equation forthe lower one. The lower horizontal tangent line is defined by theequation y=___
c) The ellipse has two vertical tangents. Find an equation ofthe rightmost one. The rightmost vertical tangent is defined by theequation x=___
d) Find the point at which the rightmost vertical tangent linetouches the ellipse. The rightmost vertical tangent line touchesthe ellipse at the point ( , ).
The graph of the equation x^2+xy+y^2=8 is an ellipse lying obliquely in the plane. a) Compute dy/dx b) The ellipse has t
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