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(a) Graph the conics $r=e d /(1+e \sin \theta)$ for $e=1$ and various values of $d .$ How does the value of $d$ affect the shape of the conic? (b) Graph these con...

Question

(a) Graph the conics $r=e d /(1+e \sin \theta)$ for $e=1$ and various values of $d .$ How does the value of $d$ affect the shape of the conic? (b) Graph these conics for $d=1$ and various values of $e$ . How does the value of $e$ affect the shape of the conic?

(a) Graph the conics $r=e d /(1+e \sin \theta)$ for $e=1$ and various values of $d .$ How does the value of $d$ affect the shape of the conic? (b) Graph these conics for $d=1$ and various values of $e$ . How does the value of $e$ affect the shape of the conic?



Answers

Graph the conic $ r = e/(1 - e \cos \theta) $ with $ e = 0.4 $, $ 0.6 $, $ 0.8 $, and $ 1.0 $ on a common screen. How does the value of $ e $ affect the shape of the curve?


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