(a) Sketch the plane curve with the given vector equation. (b) Find r'(t). (c) Sketch the position...

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(a) Sketch the plane curve with the given vector equation.
(b) Find r'(t).
(c) Sketch the position vector r(t) and the tangent vector r'(t) for the given value of t.

r(t) = (cos t + 1) i + (sin t - 1) j, t = -π/3

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