(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) = (t2, t3), t = 1

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