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\leftline{Mathematics 241 -- Multivariable Calculus}
\leftline{Quiz 3 -- September 20, 2013}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (10) Find $\alpha'(t)$ for the parametric curve $\alpha(t) = \left({2t\over t^2 + 1}, \sin(3t)\right)$  
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B) (10) Give a parametrization of the tangent line to the curve from part A at the point 
$\alpha(0)$.  
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