Estimate the Area Under the Graph Of $f ( x ) = x ^ { 2 } - 1$

question 19

Essay

Estimate the area under the graph of $f ( x ) = x ^ { 2 } - 1$ from $x = 1$ to $x = 5$ 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:

First Contract Negotiations

This term refers to the initial bargaining and agreement process between an employer and a newly formed or recognized union to establish terms of employment.

Interest Arbitration

A dispute resolution method in which an impartial arbitrator makes a binding decision on the terms of a labor contract, used when negotiation parties cannot reach an agreement.

Voluntary

A term indicating that an action or process is undertaken by someone's own choice or consent, without external compulsion.

Mandatory

Something that is required or obligatory by law or rules.