What set of reflections and rotations would carry rectangle ABCD onto itself? Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1. Rotate 180°, reflect over the y-axis, reflect over the line y=x Reflect over the y-axis, reflect over the x-axis, rotate 180° Rotate 180°, reflect over the y-axis, reflect over the line y=x Reflect over the y-axis, rotate 180°, reflect over the x-axis

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)