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The Dye Dilution Method Is Used to Measure Cardiac Output c(t)=115t(15t),0t15c ( t ) = \frac { 1 } { 15 } t ( 15 - t ) , \quad 0 \leq t \leq 15

question 189

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The dye dilution method is used to measure cardiac output with 6 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)=115t(15t),0t15c ( t ) = \frac { 1 } { 15 } t ( 15 - t ) , \quad 0 \leq t \leq 15 , where t is measured in seconds. Find the cardiac output.

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Definitions:

Gas Laws

Fundamental laws that describe the behavior of gases, including Boyle’s, Charles's, and Avogadro's laws, relating volume, pressure, temperature, and the amount of gas.

Temperature

A physical quantity that expresses hot and cold, measured on a quantitative scale, it reflects the average kinetic energy of particles in matter.

Pressure

The force exerted per unit area; in the context of gases and liquids, it determines their behavior and properties.

Moles

A unit of measurement used in chemistry to represent a specific amount of substance, based on the number of atoms, molecules, or ions present.

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