Rates of Change

Conceptual Understanding of Rates of Change A rate is a comparison between two quantities with different units. We often judge performances by using rates. For example: Average speed of a motor vehicle is $90$ km per hour. Average typing rate is $55$ words per minute. Average score of a basketball player is $34$ points per […]

Rates of Change involving Integration

Rates of Change for finding height and time can be solved by integration. Once integrated, find the integral constant using the given conditions. Worked Examples for Rates of Change involving Integration The diagram represents a vertical cylindrical water cooler of constant cross-sectional area $A$. Water drains through a hole at the bottom of the cooler. […]