Find the Most General Antiderivative $\int \left( \frac { \sqrt { y } } { 8 } + \frac { 8 } { \sqrt { y } } \right) d y$

question 147

Multiple Choice

Find the most general antiderivative.
- $\int \left( \frac { \sqrt { y } } { 8 } + \frac { 8 } { \sqrt { y } } \right) d y$

• A) \(\frac { 1 } { 12 } y ^ { 3 / 2 } + 16 \sqrt { y } + C\)
• B) \(\frac { 3 } { 16 } \mathrm { y } ^ { 3 / 2 } + \frac { 1 } { 16 } \sqrt { \mathrm { y } } + \mathrm { C }\)
• C) \(\frac { 1 } { 12 } y ^ { 3 / 2 } - 16 \sqrt { y } + C\)
• D) \(\frac { 1 } { 16 } \sqrt { y } - \frac { 1 } { 16 \sqrt { y } } + C\)

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Definitions:

Behavior

The actions or reactions of a person or animal in response to external or internal stimuli.

Punishment

The imposition of a penalty as a result of an offense, with the intention of decreasing a specific behavior or action through negative consequences.

Skinner Box

An experimental apparatus designed by B.F. Skinner for studying behavioral conditioning in animals, typically involving a lever and a food dispenser.

Superstitious Behaviors

Actions that are performed based on the irrational belief that they will influence future events, despite the lack of a logical connection.