Solved: (a) In Example 11 the graphs suggest that the limaon r 1 1 c sin has an inner

Chapter 10, Problem 53

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(a) In Example 11 the graphs suggest that the limaon r 1 1 c sin has an inner loop when | c | . 1. Prove that this is true, and find the values of that correspond to the inner loop. (b) From Figure 19 it appears that the limaon loses its dimple when c 1 2. Prove this.

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