Use Cylindrical or Spherical Coordinates, Whichever Seems More Appropriate, to Evaluate

question 59

Multiple Choice

Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate $\iiint _ { E } z d V$ where $E$ lies above the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and below the plane $z = 16$ .

• A) \(- 160.28\)
• B) \(176.38\)
• C) \(4,289.32\)
• D) \(175.93\)
• E) \(175.37\)

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Definitions:

Sublimation

A defense mechanism proposed by Freud, involving the redirection of unacceptable impulses into socially acceptable behaviors or interests.

Oedipus Complex

A psychological theory by Sigmund Freud that describes a child's feelings of desire for the opposite-sex parent and jealousy toward the same-sex parent.

Psychosexual Stage

Stages proposed by Freud detailing the sexual development and maturation process from childhood through adulthood.

Opposite-Sex Parent

A child's parent of the gender different from their own, often discussed in the context of developmental psychology.