Let F(x) = 4 - 2x Use a Riemann Sum

question 307

Multiple Choice

Let f(x) = 4 - 2x Use a Riemann sum with four subintervals of equal length (n = 5) 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 = 10) .
Compare the approximations obtained in previous parts with the exact area (4 sq units) . Do the approximations improve with larger n?

• A) 4.4 sq units; 4.8 sq units; no
• B) 4.8 sq units; 4.4 sq units; yes
• C) 4.4 sq units; 4.8 sq units; yes
• D) 4.8 sq units; 4.4 sq units; no

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