Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = x ^ { 2 } + x + 1 , a = 5$$

question 428

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = x ^ { 2 } + x + 1 , a = 5$$

• A) \(P _ { 3 } ( x ) = 31 + 11 ( x - 5 ) + 11 ( x - 5 ) ^ { 2 } + 31 ( x - 5 ) ^ { 3 }\)
• B) \(P _ { 3 } ( x ) = 1 + 3 ( x - 5 ) + 3 ( x - 5 ) ^ { 2 } + ( x - 5 ) ^ { 3 }\)
• C) \(P _ { 3 } ( x ) = 6 + 11 ( x - 5 ) + 16 ( x - 5 ) ^ { 2 }\)
• D) \(P _ { 3 } ( x ) = 31 + 11 ( x - 5 ) + ( x - 5 ) ^ { 2 }\)

Recognize the application of specific assessment tools based on clinical orientation (e.g., cognitive-behavioral, psychodynamic).

Understand the application and relevance of projective tests in revealing unconscious aspects of personality.

Identify methods and orientations for assessing specific disorders or behavioral issues.

Understand the concepts of average total, average variable, and average fixed costs.

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