Aputt-putt golf course hole has the shape shown. the miniature golf manager needs to determine how much green artificial turf is needed to re-carpet this green. all angles are right angles. what is the area of the golf green? a) 12 sq. ft. b) 21 sq. ft. c) 27 sq. ft. d) 45 sq. ft.

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)