company wants to increase the size of its spherical containers. The new volume N is equal to the old volume V times the scale factor F cubed or N = 4/3 * x * r ^ 3 * F ^ 3 and that of the new container is 6 feet. Find the scale factor F if the radius of the older container is 2 feet

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)