The temperature at a point (:0, y, z) is given by T(.'L', y, z) = (:3 | y)2 | (y | z)2 | (a: | z)2 where T is measured in degree Celsius and :L', y, z in meters. a. Find the direction the temperature increases the fastest at P(6, 2, 4). Write the answer in component form. b. Find the maximum rate of increase at P(6, 2, 4). Give the answer in exact form (i.e., a number or equivalent expression). P(6, 2, 4) in the direction of the vector c. Compute the directional derivative of T at 'v : 2'E | 33 51;. Give the exact