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?

---

Definitions:

Norms

Shared rules or guidelines that prescribe the behavior that is appropriate in a given social situation.

Berry Wellman

A sociologist known for his work in network theory and social network analysis, particularly in relation to communities and social structures.

Social Ties

The connections or relationships between individuals in a society, which can include friendships, family bonds, and professional networks.

Torontonian

Pertaining to or characteristic of someone from Toronto, a major city in Ontario, Canada.