3 . ) The position function of a particle of motion on a straight line is given by: s ( t) = (1/3) t3 - (5/2) t2 + 4t+ 1 a . ) What is the starting position of the particle? b . ) On what interval (s) is the particle moving to the right? C . ) On what interval (s) is the particle moving to the left? d . ) At what time (s) is the particle at rest? e . ) What is the position of the particle when it is at rest? f . ) How far did the particle travel in the first 5 seconds? g . ) Draw the particle motion on a horizontal line. 4 . ) Find the derivative of the following functions a . ) y = sin (x) + cos (x) b . ) y = csc (x) cot (x) c. ) y=xsin (x) cos (x) 5. ) Find the equation of the tangent line to y = excos (x) at the point (0, 1)