Denzel is measuring the lengths of lumber he needs to cut for a project. he measures 2 pieces to be cut at 9 3/16 inches and three other pieces to be cut at 12 5/8 inches. how many inches of lumber will he need for this project? if boards come in 3-foot lengths, how many boards does denzel need?

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)