A Drug Is Carried into an Organ of Volume

question 85

Multiple Choice

A drug is carried into an organ of volume cm³ by a liquid that enters the organ at the rate of p cm³/sec and leaves it at the rate of q cm³/sec. The concentration of the drug in the liquid entering the organ is r g/cm³. If the concentration of the drug in the organ at time is increasing at the rate of ​ ​g/cm³/sec, and the concentration of the drug in the organ initially is g/cm³, find the concentration of the drug in the organ at time .
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Definitions:

Add

The mathematical operation of combining two or more quantities to get a total sum.

Fractions

A mathematical expression representing the division of one quantity by another, denoting parts of a whole.

Arabic Numerals

The numeral system of digits used globally (0, 1, 2, 3, etc.), originating from the Arabic-speaking world and now common in most countries.

Roman Numeral

An ancient system of numbers where letters represent values, used historically for counting and denoting sequences.