Use a fiNite Approximation to Estimate the Area Under the Graph

question 252

Multiple Choice

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.
- $$f ( x ) = x ^ { 2 } \text { between } x = 2 \text { and } x = 6 \text { using an upper sum with four rectangles of equal width. }$$

• A) 69
• B) 86
• C) 62
• D) 54

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Definitions:

Hobbes

Thomas Hobbes was a 17th-century English philosopher known for his work in political philosophy, particularly his book "Leviathan" which argues for a social contract and rule by an absolute sovereign.

Charity

The act of giving help, typically in the form of money, to those in need.

Egotistical Altruism

A form of altruism driven by self-benefit, where helping others is also seen as indirectly beneficial to oneself.

Psychological Egoism

The theory that suggests individuals are always motivated by self-interest, even in what seem to be acts of altruism.