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\textbf{Math 225: Calculus III}
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\textbf{Quiz 3}\quad \textsl{Feb. 7/9, 1995}
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\item 
The tangential component of acceleration of an object with position
    $r(t) = e^t\i + e^{-t}\j + \sqrt{2}\,t\k$
is $a_T(t) = e^t - e^{-t}$. Determine the normal component of acceleration, $a_N(t)$.
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\item 
 Find the equation of the line tangent to the curve
    $$r(t) = \cos(t)\i - \sin(t)\j + 2 t\k$$
at the point $(-1,0,2\pi)$.
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