Question: Consider the given vector equation. r ( t ) =3 t 2, t 2 +4 (a) Find r ' ( t ). r ' (

Consider the given vector equation.

r(t) =3t2,t2+4

(a) Findr'(t).

r'(t) =

(b) Sketch the plane curve together with the position vectorr(t) and the tangent vectorr'(t) for the given value oft=1.

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