The graph in Figure 1.1.7 is the member of the family of folia in Problem 47 correspondi...

The graph in Figure 1.1.7 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 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 1.17)

(reference problem 47)