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\centerline{MATH 133 -- Calculus with Fundamentals 1}
\centerline{More Practice on Sinusoids -- September 18, 2017}
\vskip 10pt
\noindent
{\it Suggestion}
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Try at least a few of the following problems \emph{before}
consulting the solutions that will be posted on the course 
homepage.
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\noindent
I.  Plot each of the following sinusoid graphs by determining
the amplitude, period, and vertical shift:
\begin{enumerate}
\item[(A)]  $y = 4 \sin(10 x) - 1$.  Show the portion of the graph between
$x = 0$ and $x = 2\pi/5$.
\item[(B)]  $y = 2\cos(\pi x) + 2$.  Show the portion of the graph between
$x = 0$ and $x = 4$.
\item[(C)]  $y = -3\sin(x) + 4$.  Show the portion of the graph between $x=-2\pi$
and $x = 2\pi$.  
\end{enumerate}
\vskip 10pt
\noindent
II.  Find possible formulas for each of the following sinusoidal graphs (starting on back):
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\begin{figure}
\begin{center}
\includegraphics[width=3.0in]{SinusoidA.png}
\end{center}
\caption{Sinusoid (A)}
\end{figure}

\begin{figure}
\begin{center}
\includegraphics[width=3.0in]{SinusoidB.png}
\end{center}
\caption{Sinusoid (B)}
\end{figure}

\begin{figure}
\begin{center}
\includegraphics[width=3.0in]{SinusoidC.png}
\end{center}
\caption{Sinusoid (C)}
\end{figure}

\begin{figure}
\begin{center}
\includegraphics[width=3.0in]{SinusoidD.png}
\end{center}
\caption{Sinusoid (D)}
\end{figure}

\begin{figure}
\begin{center}
\includegraphics[width=3.0in]{SinusoidE.png}
\end{center}
\caption{Sinusoid (E) -- more challenging(!)}
\end{figure}

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