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\leftline{Mathematics 134 -- Intensive Calculus for Science 2}
\leftline{Quiz 5 -- March 2, 2001}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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Do all work on this sheet (front and back if needed).  You have 20 minutes and
you may use a calculator anywhere you like.
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\noindent
A triangular metal plate has the shape of the triangle
with edges given by the lines $y = -3x/4 + 3$, $y = 3x/4 - 3$, and 
the $y$-axis.  The plate has density 
$\rho(x) = 2x^2+1$ at all points $x$ units to the right of the $y$-axis.
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\item{A)} (15) What is the {\it total mass} of the plate?
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\item{B)} (15) Where is the {\it center of mass} located?  
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