(a} A particle moves on the plane so that its position at time 1s given by ((t), y()), where x(t) = cos(wt/2) 1, y(t) = 2m/4t. Hyeongjun asks you to enter the speed of the particle at time = 3 in the box below. Speed = | sqri(19)"sqri(3)*sqri(Pi*2)/6 [ Syntax advice: Recall that the speed is a number. Enter your answer as an exact value using Maple syntax. For example, write (E1/3) *sgrt (7) VTm 3 for (b) The rate of change of temperature with respect to time, dT for the dt particle on the path is given by {;T = M(cos(nt/2) 1) sin(xt/2) + N. Sami asks you to enter the values of the constants M and V. M = [ and