Find the First Four Terms of the Binomial Series for the Given

question 336

Multiple Choice

Find the first four terms of the binomial series for the given function.
- $$\left( 1 + \frac { x } { 4 } \right) ^ { 3 }$$

• A) \(1 - \frac { 3 } { 4 } x + \frac { 3 } { 16 } x ^ { 2 } - \frac { 1 } { 64 } x ^ { 3 }\)
• B) \(1 + \frac { 3 } { 4 } x + \frac { 3 } { 16 } x ^ { 2 } + \frac { 1 } { 64 } x ^ { 3 }\)
• C) \(1 + \frac { 3 } { 8 } x + \frac { 3 } { 64 } x ^ { 2 } + \frac { 1 } { 512 } x ^ { 3 }\)
• D) \(1 - \frac { 3 } { 8 } x + \frac { 3 } { 64 } x ^ { 2 } - \frac { 1 } { 512 } x ^ { 3 }\)

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Definitions:

Resistance To Stress

The ability to withstand or cope with stressful conditions without succumbing to their negative effects.

Socioeconomic Status

A collective term for the economic, occupational, and educational factors that influence an individual’s relative position in society.

Financial Resources

Assets and funds available to a person or organization for spending, investing, or other purposes.

Hans Selye

A Hungarian-Canadian endocrinologist known for his research on the physiological effects of stress, termed the "General Adaptation Syndrome."