The functions f(x) = 2x and g(x) = 2–x + 3 are combined using division to get function h(x). Which represents the combined function? h(x) = 22x + 3, x ≥ 0 h(x) = 22x – 3, x ≥ 0 h(x) = 22x + 3, all real numbers h(x) = 22x – 3, all real numbers

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)