Find Equations for the Tangent Plane and the Normal Line $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$

question 35

Short Answer

Find equations for the tangent plane and the normal line to the surface with equation $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$ at the point $P ( 2,1,1 )$ .

---

Definitions:

Barbiturates

A class of drugs used as sedatives and hypnotics, which can depress the central nervous system, leading to various effects from mild sedation to complete anesthesia.

Cocaine

An illicit narcotic with central nervous system stimulant effects, widely abused for its euphoric effects and potential for addiction.

Caffeine

A stimulant commonly found in coffee, tea, and other beverages, known for enhancing alertness and temporarily warding off drowsiness.

Caffeine

A stimulant found in coffee, tea, and various sodas and energy drinks, known for its ability to temporarily ward off drowsiness and restore alertness.