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Provide an Appropriate Response r=1+acosθr = 1 + a \cos \theta

Question 164

Essay

Provide an appropriate response.
-Graph the equation r=1+acosθr = 1 + a \cos \theta for several values of a in order to get an idea of what these curves look like. (Try both a<1| \mathrm { a } | < 1 and a>1| \mathrm { a } | > 1 .) Show that the graph will have an inner loop for every a such that a>1| \mathrm { a } | > 1 and find the values of θ\theta that correspond to the inner loop.

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For any a, the graph will be t...

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