Find the Equations of the Tangent Plane and Normal Line $\pi$

question 57

Essay

Find the equations of the tangent plane and normal line to z = xe^{sin y} at (2, $\pi$ , 5).Express the equation of the normal line parametrically.

---

Definitions:

Active Listening

The practice of fully concentrating on what is being said rather than passively hearing the message of the speaker.

Develop An Opinion

The process of forming a belief or judgment based on the evaluation of evidence and information.

Silence

the absence of sound or the act of refraining from speaking, often carrying contextual meaning.

Japanese Culture

Represents the customs, social practices, and values that are characteristic of the Japanese people, influencing aspects of daily life, business etiquette, and social interactions.