Question: Consider the equation 1 ( x 1) 2 + y 2 + 4 ( x +1) 2 + y 2 =2 . The graph of

Consider the equation

(x1)²+y²

(x+1)²+y²

. The graph of this curve looks like this:

(a) Find the positivey-intercept

(b) Find the negativey-intercept: (c) Use implicit differentiation to find the equation of the tangent line at the intercept in (a) (d) Use implicit differentiation to find the equation of the tangent line at the intercept in (b):

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