If , Find the Riemann Sum with N =

question 12

Essay

If , find the Riemann sum with n = 5 correct to 3 decimal places, taking the sample points to be midpoints.

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Definitions:

Prosocial Behavior

Actions intended to benefit others or society as a whole, such as helping, sharing, and cooperating.

Empathy

The capacity to understand or feel what another person is experiencing from within their frame of reference, essentially placing oneself in their position.

Empathy Gap

A cognitive bias where people underestimate the influence of feeling states (like pain or hunger) in themselves or others, leading to misunderstanding or lack of empathy.

Empathy-Altruism Model

A theory suggesting that feeling empathy for someone in need can prompt altruistic behavior, aiming to help solely for the benefit of the other person.