Predict what the difference between the highest and the lowest percentage would be if you continue to roll the die as many as 1 million times. Some possible responses are 0%, between 0.1% to 1%, more than 1%, I can't tell as it varies, etc. Explain your prediction.

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)