, A mosquito flies along a path through a room given by the vector function 7 (1) = (x(1). >(0).=0)) At time f - 0, the mosquito's position vector is 7(0) - (3, -6, -2) and its velocity vector is 7(0) - (3, 1, -1). The temperature ?' in the room is a function of position and time, given by the function T = F(r. y.=.1) = 70 +he "(=] +3x - 2y). (a) Find the partial derivative -3, 6-am. (b) Let M(t) - F(a(t), p(t), =(t), 1) be the temperature of the mosquito at time f. Write a chain rule formula for The (Hint: Be careful here. You may wish to draw a dependency diagram.) (e) Find She (d) Compare and contrast the values computed in parts (a) and (c). What physical rates of change do they represent? Should we expect them to be different? Why or why not