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Consider the following vector equation. r(t) = ⟨3t−4, t2+2⟩ (a) Find r′(t). r′(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r′(t) for the given value of t = −1.

Consider the following vector equation. r(t) = ⟨3t−4, t2+2⟩ (a) Find r′(t). r′(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r′(t) for the given value of t = −1.

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Consider the following vector equation.
r ( t ) = ⟨ 3 t − 4 , t 2 + 2 ⟩
(a) Find r ′ ( t ) .
r ′ ( t ) =
(b) Sketch the plane curve together with the position vector r ( t ) and the tangent vector r ′ ( t ) for the given value of t = − 1 .

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