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Solution: Tracing hyperbolas and parabolas Graph the
Chapter 9, Problem 62E(choose chapter or problem)
Graph the following equations. Then use arrows and labeled points to indicate how the curve is generated as \(\theta\) increases from 0 to \(2\pi\).
\(r=\frac{1}{1+2 \cos \theta}\)
Questions & Answers
QUESTION:
Graph the following equations. Then use arrows and labeled points to indicate how the curve is generated as \(\theta\) increases from 0 to \(2\pi\).
\(r=\frac{1}{1+2 \cos \theta}\)
ANSWER:Solution 62EStep 1:In this problem we have to draw the graph of r = and then use arrows and labeled points to indicate how the curve is generated as increases from 0 to 2.We know that the polar equation having origin at left focal point is ; r = The graph of r = is shown below ; r = r = = 0 r = = 1 r = = r = = 1 r = = 2 As increases from 0 to 2 , the curve generated as a circle.