Solve the Problem $\frac { d w } { d t }$

question 389

Multiple Choice

Solve the problem.
-Evaluate $\frac { d w } { d t }$ at $t = 6$ for the function $w = e ^ { x y z } z ^ { 2 } ; x = t , y = t , z = \frac { 1 } { t }$ .

• A) 0
• B) \(\frac { 5 } { 3 }\)
• C) \(- \frac { 5 } { 3 } \mathrm { e }\)
• D) \(\frac { 5 } { 3 } \mathrm { e }\)

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Definitions:

Procedural Memory

A type of long-term memory responsible for knowing how to perform various actions and skills, such as riding a bike.

Selective Attention

The process by which a person focuses on one or a few select stimuli while ignoring others, allowing the individual to concentrate on important information.

Reticular Activating System

A network of neurons located in the brainstem that regulates wakefulness and sleep-wake transitions.

Alertness

The state of active attention and readiness to respond to stimuli, often considered a key component of consciousness.