For , what is the curvature at…

MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Implicit and parametric differentiation

Problem

For r(t)=⟨3t, t2, 0⟩\mathbf r(t)=\langle 3t,\,t^{2},\,0\rangle, what is the curvature κ\kappa at t=0t=0? (a) 227\dfrac{2}{27} (b) 29\dfrac{2}{9} (c) 19\dfrac{1}{9} (d) 23\dfrac{2}{3}

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