Use the properties of rectangles to solve the problem. Rectangle ABCD is shown in the figure. Given:
AB = x + y
BC = x + 2y
CD = 2x − y − 2
DA = 3x − 3y + 4
1. Write an equation relating AB and CD in terms of x and y.
2. Write an equation relating BC and DA in terms of x and y.
3. Find x and y.

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)