Given the Graph Below, Use 5 Rectangles to Estimate the Area

question 21

Essay

Given the graph below, use 5 rectangles to estimate the area under the graph from x = 0 to x = 5. Compute L₅ (sample points are left endpoints), R₅ (sample points are right endpoints) and M₅ (sample points are midpoints). Which of the estimates appears to give the best estimate? Justify your answer.

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Definitions:

Libertarian

A political and philosophical stance emphasizing individual freedom and voluntary association with minimal state intervention.

Right

A claim or entitlement justified by law, custom, or morality.

Duty

What one ought to do, whether by virtue of his or her place or position in society (in Plato or Aristotle, for example) or by virtue of rational moral principles (as in Kant).

Obligation

A duty or commitment that one is bound to by law, promise, moral principles, or social custom.