Ya, I changed the inner integral and tried to evaluate, seems hard to get a finite answerandrewkirk said:
People are answering to you even when you have not posted in latex (that’s the spirit of PhysicsForums’ users) but as a friend believe me learning latex will help you in learning more and more from this forum. People will be able to answer you more instantly and willingly.daphnelee-mh said:
A surface integral is a mathematical tool used to calculate the area of a surface in three-dimensional space. It involves integrating a function over the surface, which represents the area of the surface.
To calculate the area using surface integrals, you first need to parameterize the surface by defining a function that maps a two-dimensional region onto the surface. Then, you integrate this function over the surface to find the area.
The area that vanishes with a rising tide represents the amount of land that is submerged as the water level rises. By using surface integrals, we can accurately calculate this area and understand the impact of rising tides on coastal regions.
Yes, surface integrals can be used for any type of surface, including flat surfaces, curved surfaces, and even surfaces with holes or irregular shapes. As long as the surface can be parameterized, surface integrals can be used to calculate its area.
Yes, there are many real-world applications of using surface integrals to calculate the area that vanishes with a rising tide. For example, it can help coastal engineers and planners understand the potential impact of sea level rise on coastal communities and design appropriate mitigation strategies.