I'm in a pre-analysis course and I have this homework problem over a section that my professor has neglected to cover, so I am really lost. Any help would be appreciated.
Here is the problem
Let f(x,y) be defined and continuous for and , Let
Prove that F is continuous on [a,b].
The book gave the hint "Use the uniform continuity of f." So I went through that since f is continuous and bounded, f is uniformly continuous. From there I'm not really sure where to go.
Any help would be appreciated.