Let 

?
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.
?
Repeat previous part with eight subintervals of equal length ().
?
Compare the approximations obtained in previous parts with the exact area (14 sq units). Do the approximations improve with larger n?
?

A. 12.25 sq units; 10.5 sq units; no
B. 10.5 sq units; 12.25 sq units; no
C. 10.5 sq units; 12.25 sq units; yes
D. 12.25 sq units; 10.5 sq units; yes


Answer: C

Mathematics

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