Plot the graph of the hypocycloid For appropriate values oft in each of the following cases: a.
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For appropriate values oft in each of the following cases:
a. a = 4, b = 1
b. a = 3, b = 1
c. a = 5, = 2
d. a = 7, b = 4
Experiment with other positive integer values of a and b and then make conjectures about the length of the t-interval required for the curve to return to its starting point and about the number of cusps. What can you say if a/b is irrational?
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