Find the Area of the Surface $z = 25 - x ^ { 2 } - y ^ { 2 }$

question 24

Multiple Choice

Find the area of the surface.
The part of the surface $z = 25 - x ^ { 2 } - y ^ { 2 }$ that lies above the $x y$ -plane.

• A) \(( \sqrt { 626 } - 626 )\)
• B) \(\frac { 2 } { 75 } ( 626 \sqrt { 626 } + 1 )\)
• C) \(\frac { 2 } { 75 } \pi ( 626 \sqrt { 626 } - 1 )\)
• D) \(\frac { 2 } { 75 } ( \sqrt { 626 } + 1 )\)
• E) \(\pi ( 626 \sqrt { 626 } - 1 )\)

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Definitions:

Katz

Refers generally to theories or concepts developed by Daniel Katz regarding attitudes and motivation in organizational settings.

Lifestyle Analyses

The study of consumers' buying habits and preferences, often used in market research to categorize consumers into different segments based on their lifestyle choices.

Value-Expressive Function

The role of beliefs, purchases, or behaviors in expressing an individual's values, self-concept, and social identity.

Utilitarian Function

A concept in psychology suggesting that attitudes serve a practical function for individuals, helping them to avoid pain or achieve pleasurable outcomes.