The role of curl and divergence in multivariable Calculus is similar to the role of words in acomposition; in order for the final product to make sense, you need to know in which order things may be placed. Supposefis a smooth scalar function andFis a smoth vector field. State whether each expression below is meaningful. If not, give a brief explanation why. If so, state whether it isa scalar function or a vector field. (a) curl(f)
(b) div(F)
(c) delta F
(d) div(curl(F))
(e) delta f (div(F)
(f) delta f
(g) curl(delta f)