Polar Forms : Cardinoid, Rose Curve, Lemniscate and Limacon
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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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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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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) ...
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