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\begin{center} Quiz 6A - MTH 1410
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\textbf{Name:} \underline{\hspace{3in}}



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1) (4 points) New postal regulations stipulate that for any box with a square base, the sum of the length and the height can be at most 7 feet.  Use calculus to find the maximum volume for such a box.  Round your answer to the nearest two decimal places.  Make sure to confirm that your answer is a maximum.
%at most 5 feet

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2) (4 points) Find the following limit.  If the limit does not
exist, explain why.  $$\lim_{x \to \infty} 3x \tan
\left(\frac{1}{x}\right)$$
%7x
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3) (2 points) Approximate a solution to the equation $x^2=5x-2$.  Given $x_1=1$, use Newton's Method to find $x_3$. Round your answer to the nearest two decimal places. 
%7x, x_1=2


%2) (2 points) Find the most general antiderivative of $f'(x)=x^2 +\sin x$.
%x^3








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