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Consider the curve defined by 2y3 +6ry - 12x +6y= 1.. dy 4x - 2xy (a) Show that da x + y + 1

Consider the curve defined by 2y3 +6ry - 12x +6y= 1.. dy 4x - 2xy (a) Show that da x + y + 1 (b) Write an

Consider the curve defined by 2y3 +6ry - 12x +6y= 1.. dy 4x - 2xy (a) Show that da x + y + 1 (b) Write an equation of each horizontal tangent line to the curve. (c) The line through the origin with slope -1 is tangent to the curve at point P. Find the x- and Y coordinates of point P.

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