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\textbf{Math 225: Calculus III}
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\textbf{Quiz 3}\quad \textsl{September 18, 2003}
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1. Let $\C$ be the curve parameterized by $\r(t) = \sin(\pi t)\i + t^{2}\j
+ \cos(\pi t)\k$, $t\ge0$.  Find the parametric equations of the line
tangent to $\C$ at the point $(0,1,-1)$.

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2. A particle's position is given by $\r(t) = t\i + t^2\j + t^2\k$. Find the
tangential and normal components of acceleration, $a_T(t)$ and $a_N(t)$.

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