Please write by hand, that would help me understand more easily

14.6 Directional Derivatives and the Gradient Vector 38. The temperature at a point (z, y, z) is given by T (x, y, z) = 200e-23-347-927 where T is measured in .C and x, y, z in meters. a. Find the rate of change of temperature at the point P (2, -1, 2) in the direction toward the point (3, -3, 3). b. In which direction does the temperature increase fastest at P? c. Find the maximum rate of increase at P. 61. Are there any points on the hyperboloid x - 32 - 22 = 1 where the tangent plane is parallel to the plane z = > + y? Answer # No 14.7 Maximum and Minimum Values Find the localmaximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. 13. f(x, y) = 23 -3x+3xy Answer + Maximum f (-1, 0) = 2, minimum f (1, 0) = -2, saddle points at (0, +1) 21. f (x, y) = 3 - 2ycosz, -1 0, y>0, 22 +