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Consider curve given by x^2+ 3y^2= 1 + 3xy.

Consider curve given by
x^2+ 3y^2= 1 + 3xy..
Three part question
A) show that dy/dx = 3y-2x/6y-3x
B) Find all points on the curve whose x-coordinate is 1, and write an equation for the tangent line at each of these points
C) find the coordinates of each point on the curve where the tangent line is vertical

This question was asked on May 16, 2010.

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