A Semielliptical Arch Over a Tunnel for a One-Way Road $\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 729 } = 1$

question 407

Multiple Choice

A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 54 feet and a height at the center of 12 feet.Find an equation of the semielliptical arch.

• A) \(\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 729 } = 1\)
• B) \(\frac { x ^ { 2 } } { 729 } - \frac { y ^ { 2 } } { 144 } = 1\)
• C) \(\frac { x ^ { 2 } } { 729 } + \frac { y ^ { 2 } } { 144 } = 1\)
• D) \(\frac { x ^ { 2 } } { 54 } + \frac { y ^ { 2 } } { 729 } = 1\)
• E) \(\frac { x ^ { 2 } } { 144 } + \frac { y ^ { 2 } } { 729 } = 1\)

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Definitions:

Two-Factor Theory

A model that explains emotions as a result of physiological arousal and cognitive labeling of that arousal.

Low-Road Pathway

A neural pathway that processes sensory information related to threats and emotions more rapidly than the cognitive processing pathways, often bypassing conscious thought.

Carroll Izard

An American psychologist known for his contributions to the understanding of emotions and their impact on human behavior, particularly the theory of Differential Emotions which categorizes ten basic emotions.

Basic Emotions

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