2. consider a temperature-regulated oven where the temperature at position (x, y, z), in cm, is given byt(x, y, z) =x+y21+z2, in◦c.(a) particle a is at (4,3,1) and starts moving towards (2,1,0). how fast is the temperature atparticle a changing? (include ) particle b is at (1,2,−1) and wants to moving the direction which willdecreaseits temperaturethe fastest. what direction should particle b move? (c) particle c is at (3,1,0) and is moving directly downwards. how fast is the temperature atparticle c changing?