Question: A geologist studying cave formations observes that a stalactite grows in a spiral path modeled by the parametric equations $x(t) = \cos t$, $y(t) = \sin t$, $z(t) = \frac{t}{4\pi}$, where $t \geq 0$. Find the arc length of the stalactite's growth from $t = 0$ to $t = 4\pi$ years.

Mon, 04 May 2026 07:43:45 +0000

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