Find the Derivative $$y = \int _ { 0 } ^ { x } \sqrt { 4 x + 9 } d t$$

question 40

Multiple Choice

Find the derivative.
- $$y = \int _ { 0 } ^ { x } \sqrt { 4 x + 9 } d t$$

• A) \(\frac { 1 } { 6 } ( 4 x + 9 ) ^ { 3 / 2 }\)
• B) \(\sqrt { 4 x + 9 }\)
• C) \(\frac { 2 } { \sqrt { 4 x + 9 } }\)
• D) \(\sqrt { 4 x + 9 } - \sqrt { 9 }\)

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Definitions:

Homeostasis

The biological process through which living organisms regulate their internal environment to maintain a stable, constant condition.

Equilibrium

A state of balance or stability within a system, achieved when all forces or influences are equal and opposing, leading to no net change.

Biological Conditions

Refer to physical or physiological states that affect the living organisms' bodily functions.

Limbic System

A complex system of nerves and networks in the brain, involved in emotions and drives, such as fear, pleasure, and anger.