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\centerline{MATH 134 -- Calculus with Fundamentals 2}
\centerline{Quiz 1 -- February 2, 2018}
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\noindent
Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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\noindent
{\it Directions}
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There are 30 total points possible (distributed as indicated in the questions).  
You may use a calculator, but not a phone or
any other electronic device.  
\begin{enumerate}
\item[I.]  Consider the function $f(x) = x^2 + 3x$ on the interval $[a,b] = [2,4]$.
\begin{enumerate}
\item[A.] (5)  What is the $\Delta x$ for the subdivision with $N = 4$ equal 
subintervals?
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\item[B.] (5)  What are the intermediate points $x_j$ for $j = 1,2,3$?
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\item[C.] (5)  What is value of the $R_4$ right-hand sum for this function and interval?
\end{enumerate}
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\caption{The graph $y = f(x)$}
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\item[II.]
\begin{enumerate}
\item[A.]  (7.5)  What is the value of the integral $\displaystyle \int_0^1 f(x)\ dx$?
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\item[B.]  (7.5)  What is the value of the integral $\displaystyle \int_1^4 f(x)\ dx$?
\end{enumerate}
\end{enumerate}
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