Choose the correct answer below. B. Yes. The integrand
|grad*F|has an upper bound of 1 because
|F|<=1. Therefore, the magnitude of the flux has an upper bound equal to the volume of
D. C. Yes. The flux equals the integral of
F*nover
Sby the Divergence Theorem.
|F*n|has an upper bound of 1 because
|F|<=1and
nis a unit vector field. Therefore the magnitude of the flux has an upper bound equal to the volume of D . D. Yes. The integrand
|grad*F|has an upper bound of 1 because
|F|<=1. Therefore, the magnitude of the flux has an upper bound equal to the surface area of
S. E. No. Even though
Fhas an upper bound
|F|<=1, the integrand of the volume integral
|grad*F|is unbounded and the integrand of the surface integral
|F*n|is unbounded.