Consider f and c below.
f(x, y, z) = yzexzi + exzj + xyexzk,
c: r(t) = (t2 + 2)i + (t2 − 1)j + (t2 − 2t)k, 0 ≤ t ≤ 2
(a) find a function f such that f = ∇f.

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?