Examine the Function $z = e ^ { - x } \sin 2 y \text { for relative extrema and saddle points. }$

question 117

Multiple Choice

Examine the function $z = e ^ { - x } \sin 2 y \text { for relative extrema and saddle points. }$

• A) saddle point: \(( 0,0,0 )\)
• B) relative minimum: \(( 0,0,1 )\)
• C) relative maximum: \(( 0,0,0 )\)
• D) relative minimum: \(( 0,0,0 )\)
• E) no critical points

---

Definitions:

Greenspan And Bernanke

Alan Greenspan and Ben Bernanke, both of whom served as Chairmen of the Federal Reserve, driving significant monetary policy decisions in the United States.

Socially Optimal Level

The socially optimal level refers to an outcome in production or activity where the social benefits are maximized and social costs minimized, often achieved through proper regulation or market mechanisms.

Output

The amount of goods or services produced by a company, industry, or economic system.

Industry

A group of companies or businesses that produce similar goods or services and compete within the same market.