In the Vector Space V of All Differentiable Functions

question 42

Short Answer

In the vector space V of all differentiable functions , let S be the set of all functions f such that . Determine if S is a subspace of V, and if not explain why.

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Definitions:

Dependent Variable

In statistical modeling and experimental design, the variable being tested and measured, which is expected to change in response to changes in independent variables.

R Square

A statistical measure that represents the proportion of the variance for a dependent variable that's explained by one or more independent variables in a regression model.

Independent Variables

Variables in an experiment that are manipulated or changed to observe their effect on dependent variables.

Dependent Variables

Variables in an experiment or model that are expected to change as a result of changes in the independent variables.