(3) The temperature (in F) in a certain very large room (definitely not in Texas) is given by 324 T(x, y, z) = 4+ 2 2 + 2 + z2 . (a) Just by looking at this expression, what is the highest temperature registered in this room? At what point (x, y, z) do you have this temperature? (b) Consider a person called Student who is located at the point (1, 1, 2) in the room. What is the temperature at Student's location? (c) Student misses the heat from Texas. Find all directions v = (V1, V2, V3 ) student can go so the temperature increases. (d) Out of all those directions you found, which unit direction provides the largest increase? Explain