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\textbf{Math 225: Calculus III}
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\textbf{Quiz 3}\quad \textsl{September 20, 2001}
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1.  Find a vector function $\r(t)$ that parameterizes the curve of
intersection of the plane $x + 2y - z = 0$ with the surface $y = z^4$.

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2. Determine the position vector, $\r(t)$, of a particle whose velocity
is $\v(t) = 6(1+t)^5 \i + \cos(t)\j + \cos(t)\k$, and whose initial
position is $\r(0) = 4\i + \j + \k$.


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