Let F(x) = 8x Use a Riemann Sum with Four

Multiple Choice

Let f(x) = 8x Use a Riemann sum with four subintervals of equal length (n = 4) 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 (n = 8) .
Compare the approximations obtained in previous parts with the exact area (16 sq units) . Do the approximations improve with larger n?

A) 14 sq units; 12 sq units; yes
B) 14 sq units; 12 sq units; no
C) 12 sq units; 14 sq units; no
D) 12 sq units; 14 sq units; yes