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The graph ofthe equation a:2 + my + 19' : 6 is an ellipse lying obliquely in the plane, as illustrated in the gure below.

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The graph ofthe equation a:2 + my + 19' : 6 is an ellipse lying obliquely in the plane, as illustrated in the gure below. a Com uteE . p dm. i ix da:_ x+2y ' b. The ellipse has two horizontal tangents. Find an equation of the lower one. The lower horizontal tangent line is dened by the equation y = E]. c. The ellipse has two vertical tangents. Find an equation of the rightmost one. The rightmost vertical tangent line is dened by the equation x = E]. (I. Find the point at which the rightmost vertical tangent line touches the ellipse. The rightmost vertical tangent line touches the ellipse at the BREW. (72%,21/ 2 ) . Hint: The horizontal tangent is of course characterized by % : 0. To nd the vertical tangent use symmetry, or solve % : 0. Note: You can earn partial credit on this

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