Reference no: EM13190507
Evaluate the double integral over sigma of (F*n dS) in the following cases, Use Gauss' Theorem and/or symmetry whenever convenient
a) F = (x^2, y^2, z^2), sigma = d(Omega), Omega = {(x,y,z): |x|<=1, |y|<=1, |z|<=1}, n is the outward unit normal
b) F = (y, x+2, z), sigma is the part of the cylindrical surface x^2+y^2 = 9, 0<=z<=4, x>=0, y>=0, n points away from the z-axis
c) F = gradient(f), f(x,y,z) = xyz+5, sigma is the sphere x^2+y^2+z^2=9, n is the outward normal
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