Question

Graph the function and observe where it is discontinuous. f(x,y)= e^(1/(x-y))

Answer 1

Looking at the trace plot in the xz-plane when y=0 we see a break in the graph



And the trace plot in the yz-plane then x=0 shows the same break from a different perspective



The following graph is a contour p

Answer 2

25. g(t) = to + Vt, f(x, y) = 2x + 3y – 6 1 – Xy 26. ast) = t + In t ~ – g(t) n t, f(x, y) 1 + ... Then use the formula to explain what you have observed. ... H(x, y) = (x, y) 1 – c' – y ...