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%=========    CHANGE DATE  ==  QUIZ NUM   ================= ===============
Math 175 \> Quiz 3 \> Name: \underline{\hspace{2in}} \\
\normalsize Feb 8, 2001 \> \> {\bf Show ALL Work }
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\begin{enumerate}
\item Find the limit
 \( \ds{ \lim_{x \ra \infty}\, \frac{2x^2+1}{5x-3x^2} }\)
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\item Use the definition of the derivative to find an expression for the instantaneous velocity
of an object moving with rectilinear motion according to the function \( \ds{s = 3t -\frac{2}{5t} }\).
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\item Find the derivative of each of the given functions.
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\item  \( \ds{f(y) = -6y^5+5y^3+\pi^2 }\)
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\item  \( \ds{p(x) = (x^2+2)(3-2x) }\)
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\item  \( \ds{y = \frac{3x^2+x}{1-4x} }\)
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\item For what value(s) of x is the tangent to the graph of $y=x^2-6x$ parallel to the $x$-axis?
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\item [BONUS] \. Find an equation for the line tangent to the graph of y at the x value(s) you found above (in 4).

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