Solution: Tracing hyperbolas and parabolas Graph the

Chapter 9, Problem 62E

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QUESTION:

Graph the following equations. Then use arrows and labeled points to indicate how the curve is generated as \(\theta\) increases from 0 to \(2\pi\).

\(r=\frac{1}{1+2 \cos \theta}\)

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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.

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