Surface integral Definition and 253 Threads

Hello! This is a question from one of our past exams, and it's had me stumped for the past hour. The question states: The cylinder x^2+y^2=2x cuts out a portion of a surface S from the upper nappe of the cone x^2+y^2=z^2. Compute the surface integral: \int\int (x^4-y^4+y^2z^2-z^2x^2+1)...

Curl and Surface Integral (help!) Hello people! I've been working on this problem, but I can't find how differentials of V on the left side of the equation appear. *** Show, by expansion of the surface integral, that (see attached image). Hint: choose the volume to be a differential...

Yo guys, I'm stumped on how to parameterize this surface and then compute an integral over it I'm supposed to compute \int\int_S \vec{r} over the surface formed by the x-y plane and z=4-(x^2+y^2), but I don't know to put it together and do it (No matter how you work with x and y, z will...