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6. a) Find the center (x,y) of the curve (astroid) x^(2/3) +y^(2/3) = 4^(2/3), (x0,y0). b) Find the center of gravity (x,y) of the cycloid

6. a) Find the center (x,y) of the curve (astroid) x^(2/3) +y^(2/3) = 4^(2/3), (x0,y0).

b) Find the center of gravity (x,y) of the cycloid X(t)=(4t4sint,44cost),(0t2).

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