Find All Possible Functions with the Given Derivative $y ^ { \prime } = 3 t - \frac { 4 } { \sqrt { t } }$

question 150

Multiple Choice

Find all possible functions with the given derivative.
- $y ^ { \prime } = 3 t - \frac { 4 } { \sqrt { t } }$

• A) \(3 t ^ { 2 } - \frac { 4 } { \sqrt { t } } + C\)
• B) \(t ^ { 2 } - 4 \sqrt { t } + C\)
• C) \(3 t ^ { 2 } - 8 \sqrt { t } + C\)
• D) \(\frac { 3 } { 2 } t ^ { 2 } - 8 \sqrt { t } + C\)

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Definitions:

Barton and Komatsu

Researchers noted for their contributions in the field of cognitive psychology, particularly in the study of human memory and knowledge representation.

Nominal-Kind Items

Objects or concepts that are categorized based on names or labels rather than by measurable properties or innate characteristics.

Natural-Kind Items

Objects or entities that occur naturally within the environment, often distinguished from artificial or man-made objects in categorization tasks.

Semantically Prime

The process of preparing someone's cognitive system to more efficiently process or respond to a certain category of stimuli by presenting them with related information beforehand.