Find the Area of the Part of Hyperbolic Paraboloid $z = y ^ { 2 } - x ^ { 2 }$

question 52

Multiple Choice

Find the area of the part of hyperbolic paraboloid $z = y ^ { 2 } - x ^ { 2 }$ that lies between the cylinders $x ^ { 2 } + y ^ { 2 } = 1$ and $x ^ { 2 } + y ^ { 2 } = 36$ .

• A) \(( 1297 \sqrt { 1297 } + 5 \sqrt { 5 } ) \pi\)
• B) \(( 1297 \sqrt { 1297 } - 6 \sqrt { 5 } ) \pi\)
• C) \(\frac { 1 } { 9 } ( 1297 \sqrt { 1297 } - 6 \sqrt { 5 } ) \pi\)
• D) \(\frac { 1 } { 9 } ( 1297 \sqrt { 1297 } - 5 \sqrt { 5 } )\)
• E) \(\frac { 1 } { 9 } ( 1297 \sqrt { 1297 } - 5 \sqrt { 5 } ) \pi\)

Assess the effect of taxes on savings and investments over the long term.

Analyze the main arguments in favor of and against economic stabilization policies.

Understand the various costs associated with inflation.

Comprehend the effects of monetary and fiscal policies on addressing recessions.

---

Definitions:

Psychological Control

A form of manipulation that seeks to influence another person's behavior or emotional state through psychological means.

Psychological Control

The ability of an individual to regulate their thoughts, feelings, and behaviors in order to achieve personal goals or maintain psychological well-being.

Ethnic Minority Adolescents

Young individuals belonging to racial or ethnic groups that are not the majority in their society, often facing specific cultural, social, and economic challenges.

Majority Group

A social group that controls the majority of economic, political, and social resources, often exerting power over minority groups.