Let the vector field F represent the velocity of a compressible gas contained inside a metal container, whose walls are given by a closed surface S. 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 Is it true that the curl of F is zero? Oyes Onot neccessarily Is it true that F is conservative? Oyes Onot neccessarily Let 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.ds? Opositive Onegative 00 Oimpossible to determine from the information given. What is (VxF)-dS? Opositive Onegative 00 Oimpossible to determine from the information given. Let R be the interior of the container, bounded by the surface S. What is SSSRV.FdV? Opositive Onegative 00 Oimpossible to determine from the information given.