Parametric equations are a set of equations that express a set of quantities as functions of one or more independent variables, known as parameters.
To find the area under a graph using parametric equations, you need to first find the parametric equations for the curve. Then, use the formula for area under a curve: A = ∫ [f(x) * dx], where f(x) is the function for the curve and dx is a small change in x. Integrate the function over the given range of x to find the area.
Yes, parametric equations can be used to find the area of irregular shapes. This is because parametric equations allow for a more flexible representation of curves and can be used to describe complex shapes.
The main difference between parametric equations and Cartesian equations is in their form. Parametric equations use parameters to define a curve, while Cartesian equations use variables. Parametric equations are often used to represent curves in polar coordinates, while Cartesian equations are used for curves in rectangular coordinates.
Yes, parametric equations can be used to find the area of a 3D surface. This is often done by breaking the surface into small pieces and using parametric equations to find the area of each piece. The sum of all the areas of the small pieces will give the total area of the 3D surface.