Find an Equation of the Tangent Plant to the Surface $z = x ^ { 2 } + 2 y ^ { 2 }$

question 96

Multiple Choice

Find an equation of the tangent plant to the surface $z = x ^ { 2 } + 2 y ^ { 2 }$ at the point $( 1,1,3 )$ .

• A) \(z = x + y + 1\)
• B) \(z = x + 2 y\)
• C) \(z = x - y + 3\)
• D) \(z = x - 2 y + 4\)
• E) \(z = 2 x + 2 y - 1\)
• F) \(z = 2 x + 4 y - 3\)
• G) \(z = 2 x - 2 y + 3\)
• H) \(z = 2 x - 4 y + 5\)

---

Definitions:

Behaviors

The behaviors or responses of people or collectives when faced with outside or inside prompts.

Empowerment

The process of giving individuals or groups the power, authority, and resources to achieve their potential and influence decisions.

Manager

A role within organizations responsible for planning, leading, organizing, and controlling resources to achieve specific goals.

Authority

The recognized power or right of an individual or institution to make decisions, command respect, and enforce obedience.