A statistician at a chocolate factory is analyzing the data from 16 test subjects on intake of Milk and Dark chocolate and level of satisfaction. Using a level of significance of 0.05, what can you say about what affects the level of satisfaction? The quantities are measured as follows: Chocolate intake: bars/day Level of satisfaction: [0, 100]

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)