youngronn said:1. I know both dne but how can i prove it? I am not getting any solid answers? help please!
(x,y) to (0,0)
1. ((x^2)y+x(y^2))/((x^2)-(y^2))
2. (x+y)/((x^2)+y+(y^2))
2. 1. Simplified down to xy/(x-y)
2. Simplified down to x/(x^2+y^2+y) + 1/((y+1)+x^2)
A multivariable is a mathematical concept that refers to a function with more than one independent variable. It is also known as a multivariate function.
To prove that a multivariable does not exist, you must show that it is not possible to find a function that satisfies all the given conditions or constraints. This can be done through various mathematical techniques such as contradiction or counterexample.
Proving that a multivariable does not exist can be important in mathematics as it helps to clarify the limitations and boundaries of a certain concept or theory. It also allows for a better understanding of the properties and behaviors of multivariable functions.
Yes, multivariables can exist in real-world scenarios. In fact, many natural phenomena and systems can be described by multivariable functions. For example, the motion of a car can be described by a function with variables such as time, distance, velocity, and acceleration.
One common misconception is that all functions with multiple variables are considered multivariables. However, this is not always the case as some functions with multiple variables can be simplified into a single variable function. It is important to carefully define and understand the concept of multivariables in mathematics.