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*n
over
S
by the Divergence Theorem.
|F*n|
has an upper bound of 1 because
|F|<=1
and
n
is 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
F
has 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.