A simulation is being performed to determine the number of successful serves a volleyball player might have in a volleyball game. because the player has a 60% success rate, numbers 0-5 represent successes and 6-9 represent no success. Using the list of random numbers below, approximately how many trials must occur before they are successful? 4 5 2 9 9 9 5 9 2 4 2 5

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)