- #1
kash-k
- 17
- 0
I'm trying to plot this
f (x, y) = ln(x^2 + y^2 )
any one got a idea how to?
f (x, y) = ln(x^2 + y^2 )
any one got a idea how to?
The purpose of plotting this function is to visualize the behavior of the natural logarithm of the sum of the squares of the variables x and y. This can help in understanding the relationship between the variables and how the function changes as x and y vary.
To plot f(x, y) = ln(x^2 + y^2), you can use the Plot3D function in Mathematica. This will create a 3D plot of the function, with the x and y variables as the independent axes and the natural logarithm of the sum of their squares as the dependent axis.
The range of values for x and y in this function is all real numbers except for 0, as the natural logarithm of 0 is undefined. However, it is common to restrict the range to positive values only, as the function is undefined for negative values.
You can change the appearance of the plot by using various options in the Plot3D function, such as changing the color, axes labels, and adding a legend. You can also use different types of plots, such as a contour plot or a density plot, to visualize the function in different ways.
Yes, you can plot this function in 2D using the Plot function in Mathematica. This will create a 2D plot of the function, with either x or y as the independent axis and the natural logarithm of the sum of their squares as the dependent axis. However, keep in mind that this will not show the full relationship between the two variables, as it will only show the function at a specific point in the other variable.