Answer the question.

Part 1: 1. Find grad $ and |IVoll for (a) and (b) at the indicated point. ") $(x y.z) = 2xz* - x-y. (2.2, -1) b) (xy.z) = xyz> (1,2, -1) 2. Given (x, y.z) = 2xz* - xay at the point (2.2,-1) and direction of v= i-j - 3k, Find: 3) directional derivative of d. b) the direction from the point that the directional derivative a maximum c) the direction from the point that the directional derivative a minimum d) the magnitude of the maximum and minimum. 3. The temperature Tat a point (x, y, z) is given by xyz T = (1+x + y2 + =])' e) Find the rate of change of T with respect to the distance at the point P(1 1,1) in the direction of the vector v = 2i + 3j + 6k. b) In what direction from P does 7 increase most rapidly? c) What is the maximum rate of change of Tat P. 4. Find the unit normal vector for x- ty- + z* = 3 at the point (1, -1,1)