Let the vector field F represent the velocity of a compressible gas contained inside a metal container, whose walls are given by a closed sur Assume that F is a smooth vector field so that we can easily apply vector calculus. Is it true that the divergence of F is zero? Oyes Onot neccessarily s it true that the curt of F is zero? Oyes Onot neccessarily ls it true that F is conservative? Oyes Onot neccessarily et C be a curve traveling from a point on S to a different point on the opposite side of S. What is fF.dr? Opositive Onegative Oo Oimpossible to determine from the information given. Orient the surface S with outward pointing normal. What is ff F-dS? Opositive Onegative 00 Oimpossible to determine from the information given. What is ff(V x F)-dS? positive Onegative Oo Oimpossible to determine from the information given. V. FdV? et R be the interior of the container, bounded by the surface S. What is Opositive Onegative Oo Oimpossible to determine from the information given.

Let the vector field F represent the velocity of a compressible gas contained inside a metal container, whose walls are given by a closed sur Assume that F is a smooth vector field so that we can easily apply vector calculus. Is it true that the divergence of F is zero? Oyes Onot neccessarily s it true that the curt of F is zero? Oyes Onot neccessarily ls it true that F is conservative? Oyes Onot neccessarily et C be a curve traveling from a point on S to a different point on the opposite side of S. What is fF.dr? Opositive Onegative Oo Oimpossible to determine from the information given. Orient the surface S with outward pointing normal. What is ff F-dS? Opositive Onegative 00 Oimpossible to determine from the information given. What is ff(V x F)-dS? positive Onegative Oo Oimpossible to determine from the information given. V. FdV? et R be the interior of the container, bounded by the surface S. What is Opositive Onegative Oo Oimpossible to determine from the information given.