If $F ( x ) = \int _ { 2 } ^ { 3 x } e ^ { t ^ { 4 } } d t \text {, find the value of } F ^ { \prime } ( 0 ) \text {. }$

question 43

Multiple Choice

If $F ( x ) = \int _ { 2 } ^ { 3 x } e ^ { t ^ { 4 } } d t \text {, find the value of } F ^ { \prime } ( 0 ) \text {. }$

• A)1
• B)2
• C)3
• D)4
• E)6
• F)8
• G) \(e ^ { 8 }\)
• H) \(e ^ { 16 }\)

---

Definitions:

Regression Equation

A mathematical formula that describes the relationship between two or more variables, typically identifying how one dependent variable changes as an independent variable(s) changes.

Y-intercept

The location on a graph where a line or curve intersects with the y-axis.

Multiple Correlation

A statistical technique that measures the strength of the relationship between a dependent variable and two or more independent variables.

Predictors

Variables in statistical models that are used to forecast or estimate another variable of interest.