Determine the number of cusps for the hypocycloid described by the parametric equations æ(t) = (2 – v2) cos(t) + v2cos((v2– 1)t) and y(t) = (2 – v2) sin(t) – /2sin((v2– 1)t). Provide your answer below:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine the number of cusps for the hypocycloid described by the parametric equations
x(t) =
(2 – v2) cos(t) + v2 cos((v2– 1)t) and y(t)
(2 – v2) sin(t) – v2 sin((/2 – 1)t).
Provide your answer below:
Transcribed Image Text:Determine the number of cusps for the hypocycloid described by the parametric equations x(t) = (2 – v2) cos(t) + v2 cos((v2– 1)t) and y(t) (2 – v2) sin(t) – v2 sin((/2 – 1)t). Provide your answer below:
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