What Point on the Surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$

question 153

Short Answer

What point on the surface $\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = 1$ , $x > 0$ , $y > 0$ , $z > 0$ is closest to the origin?

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Definitions:

Summun Bonum

A Latin term meaning the highest or supreme good, often used in ethical, philosophical, and metaphysical contexts to denote the ultimate importance or aim.

Moral Action

An act undertaken based on one’s understanding of right and wrong, intending to achieve a morally good outcome.

Respect

A feeling of deep admiration for someone or something elicited by their abilities, qualities, or achievements.

Kantian

Relating to the philosophy of Immanuel Kant, emphasizing duty and moral universality.