Finally, consider f along rays emanating from the origin. Note that these are given by y = mx, for some (constant) value of m. Find and simplify f on the ray y = x: f(x,x)= 3 (Notice that this means that y = x is a contour of f. Be sure you can explain why this is.) Find and simplify f on any ray y = mx: f(x,mx)= 1
a) f(x,x)=1; f(x,mx)=3
b) f(x,x)=3; f(x,mx)=1
c) f(x,x)=3; f(x,mx)=3
d) f(x,x)=1; f(x,mx)=1