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Math 105 - 4

Quiz 7
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This is due in class on Friday, March 14.
It will not be accepted after this.
Make your work really neat (you have some time to do this).
Use another piece of paper if you need too. 
(You probably will need to.)  
All are worth 10 points.(So there are 10 points of extra credit).

\begin{enumerate}

\item  Name \rule{5.in}{.3pt}

\item  Solve the following system of equations using Cramer's Rule:
\[
\begin{array}{rrrrrrr}
4x & - & 2y & + & 3z & = & -2 \\
2x & + & 2y & + & 5z & = & 16 \\
8x & - & 5y & - & 2z & = & 4 \\
\end{array}
\]
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\item  Compute the first 5 partial sums of the series:  (This means let n=0,1,2,...,5)
\[
\sum_{k=0}^{n}\frac{(-1)^k}{(2k+1)!}
\]
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\item  Find the determinant by hand.  (Check your answer with your calculator)
\[
\left|
\begin{array}{rrrr}
10 & 8 & 3 & -7 \\
 4 & 0 & 5 & -6 \\
 0 & 3 & 2 & 7 \\
 1 & 0 & -3 & 2 \\
\end{array} \right|
\]

\end{enumerate}




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