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\centerline
{
\bf ``QUIZ'' for Lecture 4
}
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{\bf NAME:} (print!) $\underline
{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
{\quad \bf Section:}
$\underline{\quad\quad\quad}$


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{\bf E-MAIL SCANNED .pdf OF COMPLETED QUIZ to DrZcalc3@gmail.com  (Attachment: q4FirstLast.pdf) ASAP BUT NO LATER THAN Sept. 17, 8:00pm} 


{\bf 1.} Find a parametric equation for the tangent line to the curve
with the given parametric equation at the specified point
$$
x=\cos t \quad , \quad y=\sin t \quad , \quad z=t^2+1 \quad ; \quad (1,0,1)
$$

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{\bf 2.}
Find ${\bf r}(t)$ if 
$$
{\bf r}'(t)=t \, {\bf i} +2 \, {\bf j}+(t+1) \,{\bf k} \quad
$$
and 
$$
{\bf r}(0)={\bf i} +2 \, {\bf j}+3 \,{\bf k} \quad .
$$

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