In: Civil Engineering
Consider the vector fields F = ze^xz cos y i − e^xz sin y j + xe^xz cos y k G = x^2 z i + xy^2 j + yz^3 k (a) Compute div F. (b) Use curl to determine which of F and G is conservative. (c) Find a function f such that your answer to part (b) is equal to ∇f. (d) Find ∇^2f.