Let S be the set containing the nonzero digits of your student number (excluding the year), and let a and b be the maximum and minimum elements of the set S, respectively. For example, if your student number is 2022 - 01234, then S = {1, 2, 3, 4} such that a = max S = 4 and b = min S = 1. If either a or b is zero, feel free to choose any positive integer. [5pts] a. A particle is moving along the x-axis in such a way if t represents time (in seconds), then its velocity v (in m/s) is given by v(t) = a sin(but). Assuming that the the particle is located at the origin at the start of the motion, determine a +b its position t = seconds after it started moving. 2 [5pts] b. Find ALL the antiderivatives of f(x) = 1043 p20:2