Let y be the hypocycloid (t) = (8 cos³ t, 8 sin³ t), t = [0, 2π], and let C bethe portion of y from the point (8,0) to the point (0,8).(a) Determine the length of y.Jovс(b) Evaluate√x ds.(0,8)(8,0)

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Answered: Let be the hypocycloid R(t) = (8 cos³…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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Let be the hypocycloid R(t) = (8 cos³ t, 8 sin³ t), t = [0, 2π], and let C be the portion of y from the point (8,0) to the point (0,8). (a) Determine the length of y. [Vrds. (b) Evaluate (0,8) (8,0)