Solve the Problem $\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d z d y d x$

question 307

Multiple Choice

Solve the problem.
-Rewrite the integral
$\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d z d y d x$
in the order $\mathrm { dx } \mathrm { dy } \mathrm { dz }$ .

• A) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 4 ( 1 - z / 8 ) } \int _ { 0 } ^ { 9 ( 1 - y / 4 - z / 8 ) } d x d y d z\)
• B) \(\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 4 ( 1 - x / 9 ) } \int _ { 0 } ^ { 8 ( 1 - x / 9 - y / 4 ) } d x d y d z\)
• C) \(\int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 9 ( 1 - z / 8 ) } \int _ { 0 } ^ { 4 ( 1 - y / 4 - z / 8 ) } d x d y d z\)
• D) \(\int _ { 0 } ^ { 9 } \int _ { 0 } ^ { 8 ( 1 - x / 9 ) } \int _ { 0 } ^ { 4 ( 1 - x / 9 - y / 4 ) } d x d y d z\)

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Definitions:

Natural Selection

Is the evolutionary process whereby organisms better adapted to their environment tend to survive and produce more offspring.

Instrumental Conditioning

A learning process in which behavior is modified by the consequences of actions, focusing on the use of rewards and punishments.

Positive Outcomes

Favorable results or benefits resulting from particular actions, behaviors, or interventions.

Instrumental Conditioning

A learning process wherein behavior is modified by the consequences of the behavior, with reinforcement used to increase desirable behaviors and punishment to decrease undesirable ones.