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

question 418

Multiple Choice

Find the first four terms of the binomial series for the given function.
- $$\left( 1 + 9 x ^ { 2 } \right) ^ { 3 }$$

• A) \(1 + 27 x ^ { 2 } + 27 x ^ { 4 } + x ^ { 6 }\)
• B) \(1 + 27 x ^ { 2 } + 405 x ^ { 4 } + 5103 x ^ { 6 }\)
• C) \(1 + 27 x ^ { 2 } + 243 x ^ { 4 } + 729 x ^ { 6 }\)
• D) \(1 + 27 x ^ { 2 } + 81 x ^ { 4 } + 243 x ^ { 6 }\)

Understand the changes in sleep patterns and stages across different ages.

Recognize the role of REM and slow-wave sleep in cognitive and physiological functioning.

Describe various sleep disorders and their symptoms.

Explain the impact of external factors (e.g., drugs, environment) on sleep quality and patterns.

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