If map) = tattoo) = {1, does it follow that f has a local maximum or local minimum at {ah}? Explain. E) Choose the correct answer below. Ct A. No. One {or both) o'ifx and f? must also not exist at {am to he sure thatf has a local maximum or local minimum at (so). Ct Et. Yes. The tangent plane to t at tab} is horizontal. This indicates the presence of a local maximum or a local minimum at {a,h}. D C. Yes. The point {ah} is a critical point and must he a local maximum or local minimum. Ct D. No. It follows that (so) is a critical point of t, and {am is a candidate for a local maximum or local minimum. Use differentials to approximate the change in z for the given change in the independent variables. Z=x" - 3xy + y when (x,y) changes from (4,2) to (4.01,1.99) - - . dz = (Type an integer or a decimal.)