Find the Arc Length of the Curve $y ^ { 2 } = x ^ { 3 }$

question 43

Multiple Choice

Find the arc length of the curve $y ^ { 2 } = x ^ { 3 }$ from (0, 0) to ( $\frac { 1 } { 4 }$ , $\frac { 1 } { 8 }$ ) .

• A) \(\frac { 65 } { 216 }\)
• B) \(\frac { 29 } { 108 }\)
• C) \(\frac { 59 } { 216 }\)
• D) \(\frac { 37 } { 108 }\)
• E) \(\frac { 61 } { 216 }\)
• F) \(\frac { 31 } { 108 }\)
• G) \(\frac { 35 } { 108 }\)
• H) \(\frac { 71 } { 216 }\)

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Definitions:

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired; a response that is at first elicited by the second stimulus is eventually elicited by the first stimulus alone.

Learning Through Association

The process of acquiring knowledge or behavior by linking two concepts or experiences together.

Positive Reinforcers

Stimuli that, when presented after a behavior, increase the likelihood of that behavior occurring in the future.

Continuous Reinforcement

Administers a reward each time a desired behavior occurs.