Consider the space curve

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Consider the space curve r(t)=⟨cos⁡t, sin⁡t, t⟩\mathbf r(t)=\langle \cos t,\,\sin t,\,t\rangle. What is the radius of curvature ρ\rho when t=π4t=\dfrac{\pi}{4}? (a) 222\sqrt{2} (b) 2\sqrt{2} (c) 22 (d) 44

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