A curve is a continuous and smooth flowing line that extends in a plane or space without sharp angles. It is represented mathematically by equations and can be open or closed. Curves are used in geometry physics and engineering to ...
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The y-axis is the vertical axis in a Cartesian coordinate system. It represents the dependent variable and is used to plot values of \( y \). Points on the y-axis have an x-coordinate of zero. It helps in graphing equations ...
The x-axis is the horizontal axis in a Cartesian coordinate system. It represents the independent variable and is typically used to plot values of x. Points on the x-axis have a y-coordinate of zero. It helps in graphing functions and ...
The area under a curve represents the total accumulated quantity between the curve and the x-axis over a specific interval. It is calculated using definite integrals. This concept is used to find areas in geometry and applications in physics such ...
The area of a region refers to the measurement of space within a boundary or enclosed area. In mathematics, it is often calculated using integration, especially when the boundary is curved or irregular. The area under curves represents accumulated quantities ...