For each of the following vector fields, determine whether it is conservative and, if so, find a function f such that F = Vf. If the field is not conservative, enter N in the blank for the function f. (a) F (e-*)i + (xy) j : f (or N) = (b) F = (1 + 2xy)i + (x) j : f (or N) = (c) F = (-2x + y cos(xy))i + (x cos(xy)) j : f (or N) =

Q: 1. Determine the domain and range of the vector-valued function r(t) = (√t+3, In(2 – t), t²)

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Q: Determine the domain of the following vector function

A: Step 1:Step 2: