Recent content by rhololkeolke

Thanks. I was able to figure it out after starting with it split how you suggested.

Homework Statement Find the Laplace Transform from the definition of f(t) = tcos(2t) Homework Equations \int e^-^s^ttcos(2t)dt The Attempt at a Solution I started by doing parts u = t du = dt dv = cos(2t)e^-^s^t dt but I get stuck on v and as far as I can tell doing parts...

Thank you. That makes so much sense now. I was under the impression that we had to find two functions with different values but now I can see that this works too.

So I don't have to show that multiple paths equal different things in this case just that one of the paths doesn't exist?

When I plug in y=-x the limit becomes lim_{(x,y)\rightarrow(2,-2)}\frac{4+x^2}{4-x^2} But then when I substitute in the values I still end up with 8/0 which is undefined. Am I doing something wrong when I plug in that function?

Homework Statement The problem is to either find the limit or show that it does not exist lim_{(x,y)\rightarrow(2,-2)}\frac{4-xy}{4+xy} I've been able to do similar problems to this such as lim_{(x,y)\rightarrow(0,0)}\frac{xy}{x^2+y^2} where I took two different paths to the limit and...