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Polar Forms : Cardinoid, Rose Curve, Lemniscate and Limacon

Questions: 4,6,10,12,18,22,26,30,34,36,42,44,46,48,50 on page 6.3.
2,8,22,14,18,12,24 on page 393

4. Identify each of the curves as a cardinoid, rose curve (state number of petals), lemniscate, limacon, circle, line of none of the above.

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Problem set 6.3
4. Here, I draw the graph for all a to h so that you can see them clarLy.
a) rose curve (4 petals)

b) leminscate

c) circle

d) rose curve (16 petals)

e) none (spiral)

f) leminscate

g) rose curve (3 petals)

h) cardioid

6) To plot, you need to make a table of various  and r values.
 r
0 3
0.5 3
1 3
1.5 3
2 3
2.5 3
3 3
3.5 3

10)
 r
0 2
0.5 1.080605
1 -0.83229
1.5 -1.97998
2 -1.30729
2.5 0.567324
3 1.920341
3.5 1.507805
4 -0.291
4.5 -1.82226

12) ...

Solution Summary

Cardinoids, Rose Curves, Lemniscates and Limacons are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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