The graph in Figure 1.1.6 is the member of the family of folia in Problem 47 corresponding to c = 1. Discuss: How can the DE in Problem 47 help in finding points on the graph of x3 + y3 = 3xy where the tangent line is vertical? How does knowing where a tangent line is vertical help in determining an interval I of definition of a solution of the DE? Carry out your ideas, and compare with your estimates of the intervals in Problem 46.
REFERENCE : FIGURE 1.1.6
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