Labware - MA35 Multivariable Calculus - Two Variable Calculus



Slice Curves (Page: 1 | 2 | 3 | 4 | 5 | 6 )


We begin the study of a function f of two variables x and y in a rectangular domain by fixing one of the variables to produce a function of a single variable defined over an interval.



  • Type in the function f(x,y) = 2xy/(x2 + y2) and investigate the slice curves at the origin. In particular, look at the x- and y-slice curves as well as the slices y = x and y = -x. What happens at the origin? You may want to change the resolution of the graph by increasing the number of x and y steps.