Use a graphing utility to graph the hyperbolas \(r=\frac{e}{1+e \cos \theta}\) for e = 1.1, 1.3, 1.5, 1.7, and 2 on the same set of axes. Explain how the shapes of the curve vary as e changes.

Solution 66EStep 1 of 3:In this problem we have to draw the graph of hyperbola for e = 1.1, 1.3, 1.5, 1.7, and 2 on the same set of axes.