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\newcommand{\capa}{{\sl C\kern-.10em\raise-.00ex\hbox{\rm A}\kern-.22em%
  {\sl P}\kern-.14em\kern-.01em{\rm A}}}
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\noindent{\large\bf Student, Jaimie .\hfill Section {\Large 1}}\newline
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\noindent {\large \it Sample \capa Questions \hfill Set 1}\newline
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\noindent{\bf nsc121s9} Due Sat, Jan  1, 2000 at 16:00\hfill CAPA\_ID 2318
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\hfill Student Number {\bf a87654321}


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{\par \bf 1.} [1pt]
The following are possible ways to express the quantity 0.513 (Give ALL correct answers, i.e., B, AC, BCD...) 
Note:  3.45E-8 is a way you can enter the number $3.45\times 10^{-8}$ in most computers.
\begin{choicelist}
\item[]  A) 5.13E-1
\item[]  B) 0.0513E+1
\item[]  C) 0.000513E+4
\item[]  D) 51.3$\times 10^{-3}$
\item[]  E) 0.513E-2
\item[]  F) 0.00513$\times 10^{2}$
\end{choicelist}
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{\par \bf 2.} [1pt]
Calculate the perimeter of a rectangle with a length of 19.5$\, cm$ and a width of 40$\, mm$. Enter units.
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{\par \bf 3.} [1pt]
Calculate, in $\, cm$, the perimeter of a rectangle with a length of 13.5$\, cm$ and a width of 37$\, mm$.
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{\par \bf 4.} [1pt]
Calculate the perimeter of a rectangle with a length of 22.50$\, cm$ and a width of 48.0$\, mm$.
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{\par \bf 5.} [1pt]
Test  your calculator skills by  checking  that (4.50)\ensuremath{^{2}} equals  20.25 and that   (4.50)\ensuremath{^{3}} equals  91.13. Now,  find the value of (4.50)\ensuremath{^{2.27}}.    
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{\par \bf 6.} [1pt]
Reduce the fraction {\bf 90/60} to its lowest terms. \newline [If the result is 4/3, enter 4 (Answer1), and 3 (Answer2)] 
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{\par \bf 7.} [1pt]
Calculate the volume of a spherical balloon which has a surface  area  of 0.0373 $\, m^2$.
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{\par \bf 8.} [1pt]
List the following in order of increasing lengths from shortest to longest. (If B is shortest, then A, then C, and D is longest, enter BACD ) 
\begin{choicelist}
\item[]  A) 40$\, mm$
\item[]  B) 1.00$\, in.$
\item[]  C) 0.060$\, m$
\item[]  D) 0.10$\, ft$
\end{choicelist}
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{\par \bf 9.} [2pt]
Match each  person  with the most appropriate description. (If the first  corresponds to B, and the next 6 to C,  enter BCCCCCC)
\\ \vspace*{-.07in} \hspace*{-.1in} \begin{tabular}{p{1.7in}p{1.7in}}1) Leonardo DaVinci&A. Philosopher
\\ 2) Alfred P. Sloan&B. Politician
\\ 3) Socrates&C. Philanthropist
\\ 4) Percy Shelly&D. Poet
\\ 5) Richard M. Nixon&E. Painter
\\ 6) Edgar Allen Poe&
\\ 7) Emanuel Kant&\\ \end{tabular} \vspace*{1mm}
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{\par \bf 10.} [1pt]
The sequences for each of three fragments of DNA are shown below:\newline
    fragment 1 = TTTAAGGAAGAGGCC\newline
    fragment 2 = GAGGCCAATTCG\newline
    fragment 3 = CTGGCCACTTTTAAG\newline
Assume that the target DNA sequence has 30 bases and reconstruct that DNA sequence. 
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{\par \bf 11.} [1pt]
The nine elements of a 3x3 matrix are shown below.
\\ \vspace*{-4mm} \begin{center}  \begin{tabular}{rrr} 3& 2& -2
	\\ 3& -3& 3
	\\ -7& -1& 3
\\ \end{tabular} \end{center} 
Evaluate the determinant of that matrix.
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{\par \bf 12.} [2pt]
In order to practice for a hammering-speed contest, a person purchases the following items:
\\ \vspace*{-4mm} \begin{center}  \begin{tabular}{lcr} -- Item --&  Number & \$ ea.\\ Hammer& 1& 16.77\\ Nails& 72& 0.08\\ Wood Blocks & 5& 4.25\\ Band Aids& 36& 0.14 \\ \end{tabular} \end{center} 
Calculate the total cost, including a sales-tax of 6.40\%. (in \$)
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{\par \bf 13.} [1pt]
A block is at rest on an inclined plane whose elevation can be varied. The angle of elevation $\theta$ is increased slowly from the horizontal, and when it reaches 36.7 degrees, the block begins to slide. Calculate the coefficient of static friction. 


{\par \bf 14.} [1pt]
 The block reaches a speed of 3.19$\, m / s$ in a time of 1.23$\, s$. Calculate the coefficient of kinetic friction.
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{\par \bf 15.} [1pt]
Using graphical methods, determine at $x =$ -3.6 the value of the derivative of function $F(x)$ plotted in the graph below. 
\\ \epsfxsize=3.6in  \epsffile{/demolibrary/Graphics/Gtype02/prob09_atestnd1.ps}
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{\par \bf 16.} [3pt]
A fisherman and his young daughter are in a boat on a small pond. Both are wearing life jackets. The daughter is holding a large floating helium filled balloon by a string. Consider each action below independently, and indicate whether the level of the water in the pond  R-Rises, F-Falls, S-Stays the Same, C-Can't tell. (If in the first the level Rises, and in the second it Falls, and for the rest one Cannot tell, enter RFCCCC)   
\begin{choicelist}
\item[]  A) The fisherman lowers himself in the water and floats.
\item[]  B) The fisherman fills a glass with water from the pond and drinks it.
\item[]  C) The fisherman lowers the anchor and it hangs vertically, one foot above the bottom of the pond.
\item[]  D) The fisherman knocks the tackle box overboard and it sinks to the bottom.
\item[]  E) The daughter pops the balloon.
\item[]  F) The daughter gets in the water, looses her grip on the string, letting the balloon escape upwards.
\end{choicelist}
\vskip .05in \hrule width2in height0.6pt \hfill {\footnotesize (Over)} \vskip .02in
%\vskip .05in \hrule width3.55in height0.6pt \hfill \vskip -.07in \noindent {\tiny College of Natural Science, Michigan State University \dotfill  {CAPA\copyright msu}}
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