Recent content by chancellorpho

Homework Statement For the parametrically defined surface S given by r(u,v) = <cos(u+v), sin(u+v), uv>, find the following differential: In double integral over S of f(x, y, z)dS, dS = Homework Equations Above The Attempt at a Solution I thought I needed to put x, y, and...

does anyone have any ideas? help would be greatly appreciated.

Homework Statement If the mass per unit area of a surface is given by rho = x*y, find the mass double integral over S of x*y dS if S is the part of the cylinder x^2 + z^2 = 9 which is in the first octant and contained within the cylinder x^2 + y^2 = 4.Homework Equations Above.The Attempt at a...

Can anyone offer any insight?

Eigenvalue and eigenvector for a symmetric matrix Homework Statement Let A be a n by n real matrix with the property that the transpose of A equals A. Show that if Ax = lambda x, for some non-zero vector x in C(n) then lambda is real, and the real part of x is an eigenvector of A...