the graph of the equation x2+xy+y2=9 is an ellipse lying obliquely in the plane as illustrated in the figure below.
a.compute day/dx
b. the ellipse has two horizontal tangents. find an equation of the lower one.
c. the ellipse has two vertical tangents. Find an equation of the leftmost one.
d. find the point at which the leftmost vertical tangent line touches the ellipse.