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{\bf Math 225 : Quiz\hfill Sept. 16, 1991}

Show your work on a blank sheet of paper with your name and date at the top
(no torn edges).  Circle your final answer. You may use a calculator.

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1. Find the equation of the line tangent to the curve $$\r(t) = (t^3 - 1)\i
+ t^2\j + t\k$$ at the point $(7,4,2)$.

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2. A particle's position is $$\r(t) = \cos(t^2)\i + \sin(t^2)\j$$
Compute its speed at $t = 3$.

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