Find the Region E for Which the Triple Integral $\iiint _ { E } \left( 1 - 5 x ^ { 2 } - 5 y ^ { 2 } - 5 z ^ { 2 } \right) d V$

question 2

Short Answer

Find the region E for which the triple integral $\iiint _ { E } \left( 1 - 5 x ^ { 2 } - 5 y ^ { 2 } - 5 z ^ { 2 } \right) d V$ is a maximum.

---

Definitions:

PTSD

Post-Traumatic Stress Disorder (PTSD) is a mental health condition triggered by experiencing or witnessing a terrifying event.

Fear Of Blood

A phobia characterized by extreme anxiety or fear at the sight or thought of blood.

Fear Of Injections

A phobia characterized by extreme anxiety or fear of receiving injections or needles, also known as trypanophobia.

Fear Of Injury

An exaggerated or persistent fear of becoming injured, which can impact a person's daily activities and choices.