Let $S$ Be the Cube with Vertices $( \pm 1 , \pm 1 , \pm 1 )$

question 45

Multiple Choice

Let $S$ be the cube with vertices $( \pm 1 , \pm 1 , \pm 1 )$ . Approximate $\iint _ { S } \sqrt { x ^ { 2 } + 2 y ^ { 2 } + 7 z ^ { 2 } }$ by using a Riemann sum as in Definition 1, taking the patches $S _ { i j }$ to be the squares that are the faces of the cube and the points $P _ { i j }$ to be the centers of the squares.

• A) \(8 ( 3 + \sqrt { 2 } )\)
• B) \(8 ( 3 + \sqrt { 7 } )\)
• C) \(8 ( 1 + \sqrt { 2 } + \sqrt { 7 } )\)
• D) \(4 ( 1 + \sqrt { 2 } + \sqrt { 7 } )\)
• E) none of these

Assess the role of gender, class, race, and religion in shaping political attitudes and opinions.

Identify the philosophical and practical underpinnings of ideology within American political thought.

Examine the complexities of American political culture and the various factors that influence it.

Understand the role of political socialization and its primary sources.

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Definitions:

Moods

Temporary states of mind or feelings that are less specific and less intensive than emotions and can influence an individual's perception and behavior.

Differences

Variations or disparities among individuals, objects, or situations.

Happiness

A state of well-being and contentment characterized by positive emotions and satisfaction.

Polar Bear

A large carnivorous bear found primarily in the Arctic, characterized by its white fur, which helps it blend in with its snowy environment.