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[Problem 3] A rope of length L circles around the origin O on XY plane as...



[Problem 3] A rope of length L circles around the origin O on XY plane as shown in the diagram. The coordinates of the point
[Problem 3] A rope of length L circles around the origin O on XY plane as shown in the diagram. The coordinates of the point on the rope is parametrized as (x(s), y(s)). (x(s), y(s) .x [1] Write the length L of the rope as a functional of x(s) and y(s). [2] Write the area enclosed by the rope as a functional of x(s) and y(s).
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The (25) y (2) Length parameter SO La curve is párametrized Әр = C so ($)(i), ) fralds where the s varies over [a, b Filsy2 +

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