Express the Area of the Region Bounded by the Given $\frac { x } { 4 } + \frac { y } { 5 } = 1 , \frac { x } { 5 } + \frac { y } { 4 } = 1$

question 282

Multiple Choice

Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.
-The lines $\frac { x } { 4 } + \frac { y } { 5 } = 1 , \frac { x } { 5 } + \frac { y } { 4 } = 1$ , and $x = 0$

• A) \(\int _ { 0 } ^ { 20 / 9 } \int _ { 5 - 5 x / 4 } ^ { 4 - 4 x / 5 } d y d x\)
• B) \(\int _ { 0 } ^ { 20 / 9 } \int _ { 4 - 4 x / 5 } ^ { 5 - 5 x / 4 } d y d x\)
• C) \(\int _ { 0 } ^ { 9 } \int _ { 5 - 5 x / 4 } ^ { 4 - 4 x / 5 } d y d x\)
• D) \(\int _ { 0 } ^ { 9 } \int _ { 4 - 4 x / 5 } ^ { 5 - 5 x / 4 } d y d x\)

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Definitions:

Operant Conditioning

A training procedure by which behavior intensity is changed through reinforcement or punishment.

Modeling

A technique in psychotherapy where individuals learn by observing and imitating the behaviors of others.

Reinforcement

The process of encouraging or establishing a pattern of behavior by offering reward or punishment.

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior, through which an association is made between a behavior and a consequence for that behavior.