Let F(x) = 8 - 4x

question 104

Essay

Let f(x) = 8 - 4x
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.
__________ sq units
Repeat previous part with eight subintervals of equal length (n = 10).
__________ sq units
Compare the approximations obtained in previous parts with the exact area (8 sq units). Do the approximations improve with larger n?

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