Find the Polynomial of Lowest Degree That Will Approximate $F ( x )$

question 458

Multiple Choice

Find the polynomial of lowest degree that will approximate $F ( x )$ throughout the given interval with an error of magnitude less than than $10 ^ { - 3 }$ .
- $$F ( x ) = \int _ { 0 } ^ { x } \frac { \ln \left( 1 + t ^ { 2 } \right) } { t } d t , [ 0,0.6 ]$$

• A) \(\frac { x ^ { 2 } } { 2 } - \frac { x ^ { 4 } } { 4 } + \frac { x ^ { 6 } } { 6 }\)
• B) \(\frac { x ^ { 2 } } { 2 } - \frac { x ^ { 4 } } { 16 } + \frac { x ^ { 6 } } { 128 }\)
• C) \(\frac { x ^ { 2 } } { 2 } - \frac { x ^ { 4 } } { 8 } + \frac { x ^ { 6 } } { 32 }\)
• D) \(\frac { x ^ { 2 } } { 2 } - \frac { x ^ { 4 } } { 8 } + \frac { x ^ { 6 } } { 18 }\)

Understand the electrical rhythms of the brain and their significance.

Comprehend the impact of brain surgery and lesions on memory and cognition.

Recognize the advantages and limitations of neuroscientific research methods.

Learn about the effects of substances on learning in animal models.

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