Find All Possible Functions with the Given Derivative $y ^ { \prime } = 5 x ^ { 7 }$

question 213

Multiple Choice

Find all possible functions with the given derivative.
- $y ^ { \prime } = 5 x ^ { 7 }$

• A) \(\frac { 5 } { 7 } x ^ { 8 } + C\)
• B) \(\frac { 7 } { 5 } x ^ { 8 } + C\)
• C) \(\frac { 1 } { 4 } x ^ { 8 } + C\)
• D) \(\frac { 5 } { 8 } x ^ { 8 } + C\)

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Definitions:

Surveys

Research methods that involve collecting data from a sample of individuals to gather information about their opinions, behaviors, or characteristics.

Sampling Bias

A statistical bias that occurs when the sample is not representative of the population from which it was drawn.

Representative Sample

A subset of a population that accurately reflects the members of the entire population.

Stratified Sample

A sampling method that divides the population into subgroups and selects samples from each, ensuring representation.