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Suppose That r(t)\vec { r } ( t ) Is the Parametric Vector Form of Some Curve C in the Parametric

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Suppose that r(t)\vec { r } ( t ) is the parametric vector form of some curve C in 2-space.
(a)Describe geometrically the curve parameterized by r(t)- \vec { r } ( t ) compared to the graph of C.
(b)Describe geometrically the curve parameterized by r(t)\vec { r } ( - t ) compared to the graph of C.
(c)Describe geometrically the possibility for C if r(t)=r(t)\vec { r } ( t ) = - \vec { r } ( t ) .

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(a)For every point (x, y)on the curve, t...

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