examples.mw

Examples from Lecture 17

The function f(x,y)= ln(x^2 +y^2-1 ) has domain the set of all (x,y) with x^2+y^2 < 1 and graph:

[Plot]

The circular paraboloid f(x, y) = x^2+y^2 has graph

[Plot]

The function f(x, y) = sqrt(1-x^2/9-y^2/4) has graph:

[Plot]

Contour plot showing the level curves of f(x, y) = 25-x^2-y^2

[Plot]

The function f(x, y) = sin(sqrt(x^2+y^2)) has graph

[Plot]

>