xy (x, y) = (0,0) x+y 0, (x, y) = (0,0) (a) Is f continuous at...

 

Transcribed Image Text:

xy (x, y) = (0,0) √x²+y²² 0, (x, y) = (0,0) (a) Is f continuous at (0,0)? Why? Give your reason and show all your works. (b) If exists, compute fx (0,0) and fy (0,0). Show all calculations. (c) For (x, y) = (0,0), find fx (x, y) and fy(x, y). (d) Determine whether fx and fy are continuous at (0,0). (Hint: Check the limit along the lines y = mx.) Let f(x, y) = Why? xy (x, y) = (0,0) √x²+y²² 0, (x, y) = (0,0) (a) Is f continuous at (0,0)? Why? Give your reason and show all your works. (b) If exists, compute fx (0,0) and fy (0,0). Show all calculations. (c) For (x, y) = (0,0), find fx (x, y) and fy(x, y). (d) Determine whether fx and fy are continuous at (0,0). (Hint: Check the limit along the lines y = mx.) Let f(x, y) = Why?

Answer rating: 100% (QA)

a To determine if f is continuous at 00 we need to check if the limit of fxy as xy approaches 00 exists and is equal to f00 Lets calculate the limit l... View the full answer