Let 

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Use a Riemann sum with four subintervals of equal length () to approximate the area of R (under the graph of  f on the interval [0, 2]). Choose the representative points to be the left end points of the subintervals.
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Repeat previous part with eight subintervals of equal length ().
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Compare the approximations obtained in previous parts with the exact area (4 sq units). Do the approximations improve with larger n?
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A. 4.8 sq units; 4.4 sq units; yes
B. 4.4 sq units; 4.8 sq units; yes
C. 4.8 sq units; 4.4 sq units; no
D. 4.4 sq units; 4.8 sq units; no


Answer: A

Mathematics

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