A tiny bug is put on the plate, temperature T at (r,y) being (x and y are measured in cm, time in s, and temperature inãC'). At t = 0 the bug is at the point (-1) and has velocity (1, 2) cm/s, what is the rate of change of the bugs perceived temperature at t = 0? units The setting is the same as in Problem 3, but now the bug has the speed of 7 cm/s and wants to move in the direction of the fastest increase of the temperature. (a) what should be the velocity of the bug at time t 0? units (b) What will be the rate of change of the bug's perceived temperature at t units Now another, cold-seeking bug is put at the point (0,-1). Its speed is 3 cm/s. (a) what should its velocity be at t = 0? units