1. [3/18 Points] PREVIOUS ANSWERS | MY NOTES The graph of the equation 2X2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisfy the equation yield the pictured ellipse. This is NOT the graph of a function y=f(x). However, if you solve the original equation for y in terms of X, you can break the graph into two pieces, each of which is the graph of a function as pictured below. (a) The upper piece of the ellipse (solid) is the graph of the function (x+V167x2) 2 y=g(X)= (b) The lower piece (dashed) of the ellipse is the graph of the function y=h(x) = (c) There are two points indicated (as big dots) where the graphs of the functions in (a) and (b) "glue together". What is the x-coordinate of the right-most point? (d) The implicit derivative is dy/dx= (e) Setting the denominator of (d) equal to zero yields the linear equation: y= X (f) Simultaneously solving (e) with the original equation gives |X| =