Find the Standard Form of the Equation of the Ellipse $( 0 , \pm 8 )$

question 137

Multiple Choice

Find the standard form of the equation of the ellipse with vertices $( 0 , \pm 8 )$ and eccentricity $e = \frac { 3 } { 8 }$ .

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 64 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 64 } = 1\)
• C) \(\frac { x ^ { 2 } } { 55 } + \frac { y ^ { 2 } } { 64 } = 1\)
• D) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 9 } = 1\)
• E) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 55 } = 1\)

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Definitions:

Operant Conditioning

A learning process through which the strength of a behavior is modified by reinforcement or punishment.

Law of Effect

A psychological principle suggesting that behaviors followed by positive outcomes are likely to be repeated, whereas behaviors followed by negative outcomes are less likely to be repeated.

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, encouraging the reinforcement of desired behaviors and the discontinuation of undesired ones.

B.F. Skinner

An American psychologist known for his work in behaviorism and the development of the theory of operant conditioning.