Solve the Problem by Integration $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$

question 167

Multiple Choice

Solve the problem by integration.
-By a computer analysis, the electric current i (in A) in a certain circuit is given by i $= \frac { 0.0040 \left( 8 t ^ { 2 } + 15 t + 75 \right) } { ( t + 5 ) \left( t ^ { 2 } + 15 \right) }$ , where $t$ is the time (in s) . Find the total charge that passes a point in the circuit in the first $0.25 \mathrm {~s}$ .

• A) 0.0002 C
• B) 0.0051 C
• C) 0.0010 C
• D) 0.0049 C

---

Definitions:

Oxygen Levels

The concentration of oxygen in a particular environment, often measured in terms of partial pressure or saturation.

Blood Pressure

Blood pressure is the force exerted by circulating blood on the walls of the body's arteries, important for maintaining blood flow through the body.

Pulmonary Circulations

The part of the circulatory system specifically responsible for carrying deoxygenated blood from the right side of the heart to the lungs and returning oxygenated blood back to the heart.

Systemic Circulations

The component of the cardiovascular system responsible for transporting oxygen-rich blood from the heart to the body and bringing oxygen-poor blood back to the heart.