Find an equation of the tangent line at each of the four points on the curve (x2 + y2

Chapter 3, Problem 70

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Find an equation of the tangent line at each of the four points on the curve (x2 + y2 4x)2 = 2(x2 + y2) where x = 1. This curve (Figure 14) is an example of a limaon of Pascal, named after the father of the French philosopher Blaise Pascal, who first described it in 1650. 3 3 1 3 5 x y FIGURE 14 Limaon: (x2 + y2 4x)2 = 2(x2 + y2)

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