If $\mathbf { r } ( t ) = \left\langle t , t ^ { 5 } , t ^ { 2 } \right\rangle$

question 56

Multiple Choice

If $\mathbf { r } ( t ) = \left\langle t , t ^ { 5 } , t ^ { 2 } \right\rangle$ , find $\mathbf { r } ^ { \prime \prime } ( t )$

• A) \(\left\{ 0,42 t ^ { 4 } , 20 t ^ { 2 } \right\}\)
• B) \(\left\{ 0,42 t ^ { 5 } , 20 t ^ { 3 } \right\}\)
• C) \(\left\langle 0,20 t ^ { 3 } , 42 t ^ { 5 } \right\}\)
• D) \(\left( 1,5 t ^ { 6 } , 7 t ^ { 8 } \right)\)
• E) \(\left\langle 0,20 t ^ { 2 } , 42 t ^ { 4 } \right\}\)

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Definitions:

Age

A measure of the time an individual has lived, typically expressed in years.

Multiple Logistic Regression

A statistical analysis method used to predict the outcome of a categorical dependent variable based on multiple independent variables.

Multiple Logistic Regression

A statistical technique that models the relationship between a dichotomous dependent variable and multiple independent variables.

Response Variable

The outcome or dependent variable in a study or experiment, which reacts to changes in the predictor or independent variable.