Posted by **Sophee** on Monday, November 12, 2007 at 3:14pm.

Let y = f(x) be the continuous function that satisfies the equation x^4 - (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2.

(a) Find and expression for y'.

(b) Write an equation for the line L.

(c) Give the coordinates of a point that is on the graph of f but is not on line L.

(d) Give the coordinates of a point that is on the line L but is not on the graph of f.

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