Solve the Problem $$y = 4 - x ^ { 2 }$$

question 254

Multiple Choice

Solve the problem.
-A rectangle is bounded by the x-axis and a parabola defined by $$y = 4 - x ^ { 2 }$$ . What are the dimensions of the rectangle if the area is $6 \mathrm {~cm} ^ { 2 }$ ? Assume that all units of length are in centimeters.

• A) \(2 \mathrm {~cm}\) by \(3 \mathrm {~cm}\)
• B) \(\sqrt { 13 } - 1 \mathrm {~cm}\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)
• C) \(1 \mathrm {~cm}\) by \(6 \mathrm {~cm}\) or \(\frac { \sqrt { 13 } - 1 } { 2 }\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)
• D) \(2 \mathrm {~cm}\) by \(3 \mathrm {~cm}\) or \(\sqrt { 13 } - 1 \mathrm {~cm}\) by \(\frac { 1 + \sqrt { 13 } } { 2 } \mathrm {~cm}\)

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Definitions:

Oedipus Complex

According to Freud, a boy’s sexual desires toward his mother and feelings of jealousy and hatred for the rival father.

Identification

The process by which, according to Freud, children incorporate their parents’ values into their developing superegos.

Masculine Gender Identity

An individual's self-identification with culturally associated masculine traits, roles, or attributes, often informed by societal norms and personal identity.

Neo-Freudian Theory

A set of psychoanalytic theories that extend from but modify Sigmund Freud's original ideas, often placing more emphasis on social environment and cultural factors.