Estimate the Area Under the Graph Of $f ( x ) = 2 ^ { - x }$

question 37

Essay

Estimate the area under the graph of $f ( x ) = 2 ^ { - x }$ from $x = 0$ to $x = 4$ using
(a) four approximating rectangles and right endpoints.
(b) four approximating rectangles and left endpoints.
(c) eight approximating rectangles and right endpoints.

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Definitions:

Social Organization

The patterned network of relationships and social interactions that define a society or a group within a society.

Norms

Shared rules or guidelines within a society or group that dictate appropriate and acceptable behaviors, values, and beliefs.

Prescriptive

Describes an approach or rule that indicates how things should be done, setting standards or norms for behavior.

Proscriptive

Relating to prohibitions or restrictions, especially in terms of rules or laws.